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Finding the Fourth Proportional to 25,788.75, 38,700.42 and 9,372.75

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Solution

The fourth proportional to 25,788.75, 38,700.42 and 9,372.75 is: 14,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,788.75 : 38,700.42 = 9,372.75 : x
  2. Step 2: Convert to fraction form
    25,788.75/38,700.42 = 9,372.75/x
  3. Step 3: Cross multiply
    25,788.75x = 38,700.42 × 9,372.75
  4. Step 4: Simplify right side
    25,788.75x = 362,729,314.69
  5. Step 5: Solve for x
    x = 362,729,314.69/25,788.75
  6. Step 6: Final answer
    x = 14,065.41

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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.