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Finding the Fourth Proportional to 16,516.87, 24,733 and 9,113.11

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Solution

The fourth proportional to 16,516.87, 24,733 and 9,113.11 is: 13,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.87 : 24,733 = 9,113.11 : x
  2. Step 2: Convert to fraction form
    16,516.87/24,733 = 9,113.11/x
  3. Step 3: Cross multiply
    16,516.87x = 24,733 × 9,113.11
  4. Step 4: Simplify right side
    16,516.87x = 225,394,549.63
  5. Step 5: Solve for x
    x = 225,394,549.63/16,516.87
  6. Step 6: Final answer
    x = 13,646.32

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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.