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Finding the Fourth Proportional to 13,402.26, 18,495.27 and 7,434.11

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Solution

The fourth proportional to 13,402.26, 18,495.27 and 7,434.11 is: 10,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.26 : 18,495.27 = 7,434.11 : x
  2. Step 2: Convert to fraction form
    13,402.26/18,495.27 = 7,434.11/x
  3. Step 3: Cross multiply
    13,402.26x = 18,495.27 × 7,434.11
  4. Step 4: Simplify right side
    13,402.26x = 137,495,917.90
  5. Step 5: Solve for x
    x = 137,495,917.90/13,402.26
  6. Step 6: Final answer
    x = 10,259.16

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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.