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Finding the Fourth Proportional to 17,702.91, 24,414.08 and 14,728.59

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Solution

The fourth proportional to 17,702.91, 24,414.08 and 14,728.59 is: 20,312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.91 : 24,414.08 = 14,728.59 : x
  2. Step 2: Convert to fraction form
    17,702.91/24,414.08 = 14,728.59/x
  3. Step 3: Cross multiply
    17,702.91x = 24,414.08 × 14,728.59
  4. Step 4: Simplify right side
    17,702.91x = 359,584,900.90
  5. Step 5: Solve for x
    x = 359,584,900.90/17,702.91
  6. Step 6: Final answer
    x = 20,312.19

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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.