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Finding the Fourth Proportional to 25,874.32, 38,774.40 and 14,758

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Solution

The fourth proportional to 25,874.32, 38,774.40 and 14,758 is: 22,115.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,874.32 : 38,774.40 = 14,758 : x
  2. Step 2: Convert to fraction form
    25,874.32/38,774.40 = 14,758/x
  3. Step 3: Cross multiply
    25,874.32x = 38,774.40 × 14,758
  4. Step 4: Simplify right side
    25,874.32x = 572,232,595.20
  5. Step 5: Solve for x
    x = 572,232,595.20/25,874.32
  6. Step 6: Final answer
    x = 22,115.85

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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.