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Finding the Fourth Proportional to 16,706.52, 23,055.24 and 9,152.68

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Solution

The fourth proportional to 16,706.52, 23,055.24 and 9,152.68 is: 12,630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.52 : 23,055.24 = 9,152.68 : x
  2. Step 2: Convert to fraction form
    16,706.52/23,055.24 = 9,152.68/x
  3. Step 3: Cross multiply
    16,706.52x = 23,055.24 × 9,152.68
  4. Step 4: Simplify right side
    16,706.52x = 211,017,234.04
  5. Step 5: Solve for x
    x = 211,017,234.04/16,706.52
  6. Step 6: Final answer
    x = 12,630.83

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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.