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Finding the Fourth Proportional to 21,166.59, 31,747.46 and 5,585.43

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Solution

The fourth proportional to 21,166.59, 31,747.46 and 5,585.43 is: 8,377.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,166.59 : 31,747.46 = 5,585.43 : x
  2. Step 2: Convert to fraction form
    21,166.59/31,747.46 = 5,585.43/x
  3. Step 3: Cross multiply
    21,166.59x = 31,747.46 × 5,585.43
  4. Step 4: Simplify right side
    21,166.59x = 177,323,187.58
  5. Step 5: Solve for x
    x = 177,323,187.58/21,166.59
  6. Step 6: Final answer
    x = 8,377.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.