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Finding the Fourth Proportional to 16,506.57, 24,717.60 and 9,102.81

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Solution

The fourth proportional to 16,506.57, 24,717.60 and 9,102.81 is: 13,630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.57 : 24,717.60 = 9,102.81 : x
  2. Step 2: Convert to fraction form
    16,506.57/24,717.60 = 9,102.81/x
  3. Step 3: Cross multiply
    16,506.57x = 24,717.60 × 9,102.81
  4. Step 4: Simplify right side
    16,506.57x = 224,999,616.46
  5. Step 5: Solve for x
    x = 224,999,616.46/16,506.57
  6. Step 6: Final answer
    x = 13,630.91

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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.