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Finding the Fourth Proportional to 21,517.52, 29,697.24 and 12,086.72

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Solution

The fourth proportional to 21,517.52, 29,697.24 and 12,086.72 is: 16,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,517.52 : 29,697.24 = 12,086.72 : x
  2. Step 2: Convert to fraction form
    21,517.52/29,697.24 = 12,086.72/x
  3. Step 3: Cross multiply
    21,517.52x = 29,697.24 × 12,086.72
  4. Step 4: Simplify right side
    21,517.52x = 358,942,224.65
  5. Step 5: Solve for x
    x = 358,942,224.65/21,517.52
  6. Step 6: Final answer
    x = 16,681.39

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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.