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Finding the Fourth Proportional to 11,784,870.65, 17,678,053.15 and 3,698,165.45

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Solution

The fourth proportional to 11,784,870.65, 17,678,053.15 and 3,698,165.45 is: 5,547,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784,870.65 : 17,678,053.15 = 3,698,165.45 : x
  2. Step 2: Convert to fraction form
    11,784,870.65/17,678,053.15 = 3,698,165.45/x
  3. Step 3: Cross multiply
    11,784,870.65x = 17,678,053.15 × 3,698,165.45
  4. Step 4: Simplify right side
    11,784,870.65x = 65,376,365,417,543.39
  5. Step 5: Solve for x
    x = 65,376,365,417,543.39/11,784,870.65
  6. Step 6: Final answer
    x = 5,547,482.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.