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Finding the Fourth Proportional to 22,516.92, 31,071.60 and 13,086

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Solution

The fourth proportional to 22,516.92, 31,071.60 and 13,086 is: 18,057.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.92 : 31,071.60 = 13,086 : x
  2. Step 2: Convert to fraction form
    22,516.92/31,071.60 = 13,086/x
  3. Step 3: Cross multiply
    22,516.92x = 31,071.60 × 13,086
  4. Step 4: Simplify right side
    22,516.92x = 406,602,957.60
  5. Step 5: Solve for x
    x = 406,602,957.60/22,516.92
  6. Step 6: Final answer
    x = 18,057.66

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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.