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Finding the Fourth Proportional to 16,517.14, 24,733.38 and 9,113.34

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Solution

The fourth proportional to 16,517.14, 24,733.38 and 9,113.34 is: 13,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,517.14 : 24,733.38 = 9,113.34 : x
  2. Step 2: Convert to fraction form
    16,517.14/24,733.38 = 9,113.34/x
  3. Step 3: Cross multiply
    16,517.14x = 24,733.38 × 9,113.34
  4. Step 4: Simplify right side
    16,517.14x = 225,403,701.29
  5. Step 5: Solve for x
    x = 225,403,701.29/16,517.14
  6. Step 6: Final answer
    x = 13,646.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.