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Finding the Fourth Proportional to 24,562.64, 33,898.92 and 14,494.16

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Solution

The fourth proportional to 24,562.64, 33,898.92 and 14,494.16 is: 20,003.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,562.64 : 33,898.92 = 14,494.16 : x
  2. Step 2: Convert to fraction form
    24,562.64/33,898.92 = 14,494.16/x
  3. Step 3: Cross multiply
    24,562.64x = 33,898.92 × 14,494.16
  4. Step 4: Simplify right side
    24,562.64x = 491,336,370.31
  5. Step 5: Solve for x
    x = 491,336,370.31/24,562.64
  6. Step 6: Final answer
    x = 20,003.40

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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.