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Finding the Fourth Proportional to 17,493.60, 24,140.28 and 9,535.76

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Solution

The fourth proportional to 17,493.60, 24,140.28 and 9,535.76 is: 13,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,493.60 : 24,140.28 = 9,535.76 : x
  2. Step 2: Convert to fraction form
    17,493.60/24,140.28 = 9,535.76/x
  3. Step 3: Cross multiply
    17,493.60x = 24,140.28 × 9,535.76
  4. Step 4: Simplify right side
    17,493.60x = 230,195,916.41
  5. Step 5: Solve for x
    x = 230,195,916.41/17,493.60
  6. Step 6: Final answer
    x = 13,158.86

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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.