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Finding the Fourth Proportional to 23,316.98, 32,176.92 and 12,706.70

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Solution

The fourth proportional to 23,316.98, 32,176.92 and 12,706.70 is: 17,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,316.98 : 32,176.92 = 12,706.70 : x
  2. Step 2: Convert to fraction form
    23,316.98/32,176.92 = 12,706.70/x
  3. Step 3: Cross multiply
    23,316.98x = 32,176.92 × 12,706.70
  4. Step 4: Simplify right side
    23,316.98x = 408,862,469.36
  5. Step 5: Solve for x
    x = 408,862,469.36/23,316.98
  6. Step 6: Final answer
    x = 17,534.97

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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.