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Finding the Fourth Proportional to 22,543.04, 31,109.10 and 12,470.68

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Solution

The fourth proportional to 22,543.04, 31,109.10 and 12,470.68 is: 17,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,543.04 : 31,109.10 = 12,470.68 : x
  2. Step 2: Convert to fraction form
    22,543.04/31,109.10 = 12,470.68/x
  3. Step 3: Cross multiply
    22,543.04x = 31,109.10 × 12,470.68
  4. Step 4: Simplify right side
    22,543.04x = 387,951,631.19
  5. Step 5: Solve for x
    x = 387,951,631.19/22,543.04
  6. Step 6: Final answer
    x = 17,209.38

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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.