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Finding the Fourth Proportional to 13,402.71, 18,495.54 and 7,434.27

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Solution

The fourth proportional to 13,402.71, 18,495.54 and 7,434.27 is: 10,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.71 : 18,495.54 = 7,434.27 : x
  2. Step 2: Convert to fraction form
    13,402.71/18,495.54 = 7,434.27/x
  3. Step 3: Cross multiply
    13,402.71x = 18,495.54 × 7,434.27
  4. Step 4: Simplify right side
    13,402.71x = 137,500,838.16
  5. Step 5: Solve for x
    x = 137,500,838.16/13,402.71
  6. Step 6: Final answer
    x = 10,259.18

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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.