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Finding the Fourth Proportional to 23,414.70, 32,312.91 and 13,988.70

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Solution

The fourth proportional to 23,414.70, 32,312.91 and 13,988.70 is: 19,304.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414.70 : 32,312.91 = 13,988.70 : x
  2. Step 2: Convert to fraction form
    23,414.70/32,312.91 = 13,988.70/x
  3. Step 3: Cross multiply
    23,414.70x = 32,312.91 × 13,988.70
  4. Step 4: Simplify right side
    23,414.70x = 452,015,604.12
  5. Step 5: Solve for x
    x = 452,015,604.12/23,414.70
  6. Step 6: Final answer
    x = 19,304.78

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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.