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Finding the Fourth Proportional to 24,898.64, 34,360.16 and 13,720.64

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Solution

The fourth proportional to 24,898.64, 34,360.16 and 13,720.64 is: 18,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,898.64 : 34,360.16 = 13,720.64 : x
  2. Step 2: Convert to fraction form
    24,898.64/34,360.16 = 13,720.64/x
  3. Step 3: Cross multiply
    24,898.64x = 34,360.16 × 13,720.64
  4. Step 4: Simplify right side
    24,898.64x = 471,443,385.70
  5. Step 5: Solve for x
    x = 471,443,385.70/24,898.64
  6. Step 6: Final answer
    x = 18,934.50

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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.