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Finding the Fourth Proportional to 24,937.40, 34,414.40 and 14,329.16

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Solution

The fourth proportional to 24,937.40, 34,414.40 and 14,329.16 is: 19,774.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,937.40 : 34,414.40 = 14,329.16 : x
  2. Step 2: Convert to fraction form
    24,937.40/34,414.40 = 14,329.16/x
  3. Step 3: Cross multiply
    24,937.40x = 34,414.40 × 14,329.16
  4. Step 4: Simplify right side
    24,937.40x = 493,129,443.90
  5. Step 5: Solve for x
    x = 493,129,443.90/24,937.40
  6. Step 6: Final answer
    x = 19,774.69

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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.