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Finding the Fourth Proportional to 21,521.38, 29,694.24 and 12,563.74

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Solution

The fourth proportional to 21,521.38, 29,694.24 and 12,563.74 is: 17,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,521.38 : 29,694.24 = 12,563.74 : x
  2. Step 2: Convert to fraction form
    21,521.38/29,694.24 = 12,563.74/x
  3. Step 3: Cross multiply
    21,521.38x = 29,694.24 × 12,563.74
  4. Step 4: Simplify right side
    21,521.38x = 373,070,710.86
  5. Step 5: Solve for x
    x = 373,070,710.86/21,521.38
  6. Step 6: Final answer
    x = 17,334.89

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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.