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Finding the Fourth Proportional to 25,648.26, 38,471.34 and 9,012.06

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Solution

The fourth proportional to 25,648.26, 38,471.34 and 9,012.06 is: 13,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,648.26 : 38,471.34 = 9,012.06 : x
  2. Step 2: Convert to fraction form
    25,648.26/38,471.34 = 9,012.06/x
  3. Step 3: Cross multiply
    25,648.26x = 38,471.34 × 9,012.06
  4. Step 4: Simplify right side
    25,648.26x = 346,706,024.36
  5. Step 5: Solve for x
    x = 346,706,024.36/25,648.26
  6. Step 6: Final answer
    x = 13,517.72

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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.