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Finding the Fourth Proportional to 13,402.60, 18,494.06 and 7,432.76

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Solution

The fourth proportional to 13,402.60, 18,494.06 and 7,432.76 is: 10,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.60 : 18,494.06 = 7,432.76 : x
  2. Step 2: Convert to fraction form
    13,402.60/18,494.06 = 7,432.76/x
  3. Step 3: Cross multiply
    13,402.60x = 18,494.06 × 7,432.76
  4. Step 4: Simplify right side
    13,402.60x = 137,461,909.41
  5. Step 5: Solve for x
    x = 137,461,909.41/13,402.60
  6. Step 6: Final answer
    x = 10,256.36

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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.