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Finding the Fourth Proportional to 22,773.84, 34,176.24 and 13,981.92

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Solution

The fourth proportional to 22,773.84, 34,176.24 and 13,981.92 is: 20,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,773.84 : 34,176.24 = 13,981.92 : x
  2. Step 2: Convert to fraction form
    22,773.84/34,176.24 = 13,981.92/x
  3. Step 3: Cross multiply
    22,773.84x = 34,176.24 × 13,981.92
  4. Step 4: Simplify right side
    22,773.84x = 477,849,453.58
  5. Step 5: Solve for x
    x = 477,849,453.58/22,773.84
  6. Step 6: Final answer
    x = 20,982.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.