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Finding the Fourth Proportional to 25,419.84, 38,132.19 and 9,838.68

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Solution

The fourth proportional to 25,419.84, 38,132.19 and 9,838.68 is: 14,758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,419.84 : 38,132.19 = 9,838.68 : x
  2. Step 2: Convert to fraction form
    25,419.84/38,132.19 = 9,838.68/x
  3. Step 3: Cross multiply
    25,419.84x = 38,132.19 × 9,838.68
  4. Step 4: Simplify right side
    25,419.84x = 375,170,415.11
  5. Step 5: Solve for x
    x = 375,170,415.11/25,419.84
  6. Step 6: Final answer
    x = 14,758.96

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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.