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Finding the Fourth Proportional to 25,375.04, 38,039.52 and 14,408

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Solution

The fourth proportional to 25,375.04, 38,039.52 and 14,408 is: 21,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,375.04 : 38,039.52 = 14,408 : x
  2. Step 2: Convert to fraction form
    25,375.04/38,039.52 = 14,408/x
  3. Step 3: Cross multiply
    25,375.04x = 38,039.52 × 14,408
  4. Step 4: Simplify right side
    25,375.04x = 548,073,404.16
  5. Step 5: Solve for x
    x = 548,073,404.16/25,375.04
  6. Step 6: Final answer
    x = 21,598.92

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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.