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Finding the Fourth Proportional to 15,584.68, 21,501.32 and 9,209.92

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Solution

The fourth proportional to 15,584.68, 21,501.32 and 9,209.92 is: 12,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.68 : 21,501.32 = 9,209.92 : x
  2. Step 2: Convert to fraction form
    15,584.68/21,501.32 = 9,209.92/x
  3. Step 3: Cross multiply
    15,584.68x = 21,501.32 × 9,209.92
  4. Step 4: Simplify right side
    15,584.68x = 198,025,437.09
  5. Step 5: Solve for x
    x = 198,025,437.09/15,584.68
  6. Step 6: Final answer
    x = 12,706.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.