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Finding the Fourth Proportional to 13,916.63, 19,204.76 and 9,732.17

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Solution

The fourth proportional to 13,916.63, 19,204.76 and 9,732.17 is: 13,430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.63 : 19,204.76 = 9,732.17 : x
  2. Step 2: Convert to fraction form
    13,916.63/19,204.76 = 9,732.17/x
  3. Step 3: Cross multiply
    13,916.63x = 19,204.76 × 9,732.17
  4. Step 4: Simplify right side
    13,916.63x = 186,904,061.47
  5. Step 5: Solve for x
    x = 186,904,061.47/13,916.63
  6. Step 6: Final answer
    x = 13,430.26

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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.