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Finding the Fourth Proportional to 25,258.56, 37,898.72 and 10,478.24

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Solution

The fourth proportional to 25,258.56, 37,898.72 and 10,478.24 is: 15,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,258.56 : 37,898.72 = 10,478.24 : x
  2. Step 2: Convert to fraction form
    25,258.56/37,898.72 = 10,478.24/x
  3. Step 3: Cross multiply
    25,258.56x = 37,898.72 × 10,478.24
  4. Step 4: Simplify right side
    25,258.56x = 397,111,883.85
  5. Step 5: Solve for x
    x = 397,111,883.85/25,258.56
  6. Step 6: Final answer
    x = 15,721.87

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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.