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Finding the Fourth Proportional to 22,657.38, 31,267.14 and 12,585.78

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Solution

The fourth proportional to 22,657.38, 31,267.14 and 12,585.78 is: 17,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.38 : 31,267.14 = 12,585.78 : x
  2. Step 2: Convert to fraction form
    22,657.38/31,267.14 = 12,585.78/x
  3. Step 3: Cross multiply
    22,657.38x = 31,267.14 × 12,585.78
  4. Step 4: Simplify right side
    22,657.38x = 393,521,345.27
  5. Step 5: Solve for x
    x = 393,521,345.27/22,657.38
  6. Step 6: Final answer
    x = 17,368.35

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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.