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Finding the Fourth Proportional to 25,729.84, 38,598.41 and 8,193.75

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Solution

The fourth proportional to 25,729.84, 38,598.41 and 8,193.75 is: 12,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,729.84 : 38,598.41 = 8,193.75 : x
  2. Step 2: Convert to fraction form
    25,729.84/38,598.41 = 8,193.75/x
  3. Step 3: Cross multiply
    25,729.84x = 38,598.41 × 8,193.75
  4. Step 4: Simplify right side
    25,729.84x = 316,265,721.94
  5. Step 5: Solve for x
    x = 316,265,721.94/25,729.84
  6. Step 6: Final answer
    x = 12,291.79

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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.