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Finding the Fourth Proportional to 19,097.69, 28,641 and 8,004.08

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Solution

The fourth proportional to 19,097.69, 28,641 and 8,004.08 is: 12,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,097.69 : 28,641 = 8,004.08 : x
  2. Step 2: Convert to fraction form
    19,097.69/28,641 = 8,004.08/x
  3. Step 3: Cross multiply
    19,097.69x = 28,641 × 8,004.08
  4. Step 4: Simplify right side
    19,097.69x = 229,244,855.28
  5. Step 5: Solve for x
    x = 229,244,855.28/19,097.69
  6. Step 6: Final answer
    x = 12,003.80

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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.