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Finding the Fourth Proportional to 25,471.80, 38,211.54 and 7,943

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Solution

The fourth proportional to 25,471.80, 38,211.54 and 7,943 is: 11,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,471.80 : 38,211.54 = 7,943 : x
  2. Step 2: Convert to fraction form
    25,471.80/38,211.54 = 7,943/x
  3. Step 3: Cross multiply
    25,471.80x = 38,211.54 × 7,943
  4. Step 4: Simplify right side
    25,471.80x = 303,514,262.22
  5. Step 5: Solve for x
    x = 303,514,262.22/25,471.80
  6. Step 6: Final answer
    x = 11,915.70

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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.