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Finding the Fourth Proportional to 22,516.74, 31,072.86 and 12,445.11

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Solution

The fourth proportional to 22,516.74, 31,072.86 and 12,445.11 is: 17,174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.74 : 31,072.86 = 12,445.11 : x
  2. Step 2: Convert to fraction form
    22,516.74/31,072.86 = 12,445.11/x
  3. Step 3: Cross multiply
    22,516.74x = 31,072.86 × 12,445.11
  4. Step 4: Simplify right side
    22,516.74x = 386,705,160.71
  5. Step 5: Solve for x
    x = 386,705,160.71/22,516.74
  6. Step 6: Final answer
    x = 17,174.12

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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.