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Finding the Fourth Proportional to 13,287.65, 19,892.59 and 10,488.29

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Solution

The fourth proportional to 13,287.65, 19,892.59 and 10,488.29 is: 15,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,287.65 : 19,892.59 = 10,488.29 : x
  2. Step 2: Convert to fraction form
    13,287.65/19,892.59 = 10,488.29/x
  3. Step 3: Cross multiply
    13,287.65x = 19,892.59 × 10,488.29
  4. Step 4: Simplify right side
    13,287.65x = 208,639,127.09
  5. Step 5: Solve for x
    x = 208,639,127.09/13,287.65
  6. Step 6: Final answer
    x = 15,701.74

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