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Finding the Fourth Proportional to 14,513.65, 20,022.87 and 9,476.13

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Solution

The fourth proportional to 14,513.65, 20,022.87 and 9,476.13 is: 13,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.65 : 20,022.87 = 9,476.13 : x
  2. Step 2: Convert to fraction form
    14,513.65/20,022.87 = 9,476.13/x
  3. Step 3: Cross multiply
    14,513.65x = 20,022.87 × 9,476.13
  4. Step 4: Simplify right side
    14,513.65x = 189,739,319.09
  5. Step 5: Solve for x
    x = 189,739,319.09/14,513.65
  6. Step 6: Final answer
    x = 13,073.16

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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.