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Finding the Fourth Proportional to 25,577.74, 38,372.10 and 14,489.74

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Solution

The fourth proportional to 25,577.74, 38,372.10 and 14,489.74 is: 21,737.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,577.74 : 38,372.10 = 14,489.74 : x
  2. Step 2: Convert to fraction form
    25,577.74/38,372.10 = 14,489.74/x
  3. Step 3: Cross multiply
    25,577.74x = 38,372.10 × 14,489.74
  4. Step 4: Simplify right side
    25,577.74x = 556,001,752.25
  5. Step 5: Solve for x
    x = 556,001,752.25/25,577.74
  6. Step 6: Final answer
    x = 21,737.72

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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.