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Finding the Fourth Proportional to 25,874.32, 35,704.20 and 14,541.20

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Solution

The fourth proportional to 25,874.32, 35,704.20 and 14,541.20 is: 20,065.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,874.32 : 35,704.20 = 14,541.20 : x
  2. Step 2: Convert to fraction form
    25,874.32/35,704.20 = 14,541.20/x
  3. Step 3: Cross multiply
    25,874.32x = 35,704.20 × 14,541.20
  4. Step 4: Simplify right side
    25,874.32x = 519,181,913.04
  5. Step 5: Solve for x
    x = 519,181,913.04/25,874.32
  6. Step 6: Final answer
    x = 20,065.53

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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.