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Finding the Fourth Proportional to 21,269.78, 31,904.68 and 5,687

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Solution

The fourth proportional to 21,269.78, 31,904.68 and 5,687 is: 8,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,269.78 : 31,904.68 = 5,687 : x
  2. Step 2: Convert to fraction form
    21,269.78/31,904.68 = 5,687/x
  3. Step 3: Cross multiply
    21,269.78x = 31,904.68 × 5,687
  4. Step 4: Simplify right side
    21,269.78x = 181,441,915.16
  5. Step 5: Solve for x
    x = 181,441,915.16/21,269.78
  6. Step 6: Final answer
    x = 8,530.50

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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.