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Finding the Fourth Proportional to 22,516.26, 31,070 and 12,444.20

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Solution

The fourth proportional to 22,516.26, 31,070 and 12,444.20 is: 17,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,516.26 : 31,070 = 12,444.20 : x
  2. Step 2: Convert to fraction form
    22,516.26/31,070 = 12,444.20/x
  3. Step 3: Cross multiply
    22,516.26x = 31,070 × 12,444.20
  4. Step 4: Simplify right side
    22,516.26x = 386,641,294
  5. Step 5: Solve for x
    x = 386,641,294/22,516.26
  6. Step 6: Final answer
    x = 17,171.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.