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Finding the Fourth Proportional to 22,985.65, 34,479.64 and 6,345.31

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Solution

The fourth proportional to 22,985.65, 34,479.64 and 6,345.31 is: 9,518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,985.65 : 34,479.64 = 6,345.31 : x
  2. Step 2: Convert to fraction form
    22,985.65/34,479.64 = 6,345.31/x
  3. Step 3: Cross multiply
    22,985.65x = 34,479.64 × 6,345.31
  4. Step 4: Simplify right side
    22,985.65x = 218,784,004.49
  5. Step 5: Solve for x
    x = 218,784,004.49/22,985.65
  6. Step 6: Final answer
    x = 9,518.29

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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.