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Finding the Fourth Proportional to 25,271.52, 37,885.14 and 10,471.20

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Solution

The fourth proportional to 25,271.52, 37,885.14 and 10,471.20 is: 15,697.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,271.52 : 37,885.14 = 10,471.20 : x
  2. Step 2: Convert to fraction form
    25,271.52/37,885.14 = 10,471.20/x
  3. Step 3: Cross multiply
    25,271.52x = 37,885.14 × 10,471.20
  4. Step 4: Simplify right side
    25,271.52x = 396,702,877.97
  5. Step 5: Solve for x
    x = 396,702,877.97/25,271.52
  6. Step 6: Final answer
    x = 15,697.63

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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.