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Finding the Fourth Proportional to 13,402.20, 18,497.96 and 7,435.92

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Solution

The fourth proportional to 13,402.20, 18,497.96 and 7,435.92 is: 10,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.20 : 18,497.96 = 7,435.92 : x
  2. Step 2: Convert to fraction form
    13,402.20/18,497.96 = 7,435.92/x
  3. Step 3: Cross multiply
    13,402.20x = 18,497.96 × 7,435.92
  4. Step 4: Simplify right side
    13,402.20x = 137,549,350.72
  5. Step 5: Solve for x
    x = 137,549,350.72/13,402.20
  6. Step 6: Final answer
    x = 10,263.19

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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.