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Finding the Fourth Proportional to 25,417.99, 38,131.78 and 9,627.75

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Solution

The fourth proportional to 25,417.99, 38,131.78 and 9,627.75 is: 14,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,417.99 : 38,131.78 = 9,627.75 : x
  2. Step 2: Convert to fraction form
    25,417.99/38,131.78 = 9,627.75/x
  3. Step 3: Cross multiply
    25,417.99x = 38,131.78 × 9,627.75
  4. Step 4: Simplify right side
    25,417.99x = 367,123,006.10
  5. Step 5: Solve for x
    x = 367,123,006.10/25,417.99
  6. Step 6: Final answer
    x = 14,443.43

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