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Finding the Fourth Proportional to 25,882.14, 35,717.18 and 14,704.14

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Solution

The fourth proportional to 25,882.14, 35,717.18 and 14,704.14 is: 20,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.14 : 35,717.18 = 14,704.14 : x
  2. Step 2: Convert to fraction form
    25,882.14/35,717.18 = 14,704.14/x
  3. Step 3: Cross multiply
    25,882.14x = 35,717.18 × 14,704.14
  4. Step 4: Simplify right side
    25,882.14x = 525,190,341.60
  5. Step 5: Solve for x
    x = 525,190,341.60/25,882.14
  6. Step 6: Final answer
    x = 20,291.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.