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Finding the Fourth Proportional to 24,801.76, 34,203 and 16,288.88

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Solution

The fourth proportional to 24,801.76, 34,203 and 16,288.88 is: 22,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,801.76 : 34,203 = 16,288.88 : x
  2. Step 2: Convert to fraction form
    24,801.76/34,203 = 16,288.88/x
  3. Step 3: Cross multiply
    24,801.76x = 34,203 × 16,288.88
  4. Step 4: Simplify right side
    24,801.76x = 557,128,562.64
  5. Step 5: Solve for x
    x = 557,128,562.64/24,801.76
  6. Step 6: Final answer
    x = 22,463.27

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1.5x scale

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.