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Finding the Fourth Proportional to 25,542.66, 38,314.02 and 7,074.66

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Solution

The fourth proportional to 25,542.66, 38,314.02 and 7,074.66 is: 10,612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542.66 : 38,314.02 = 7,074.66 : x
  2. Step 2: Convert to fraction form
    25,542.66/38,314.02 = 7,074.66/x
  3. Step 3: Cross multiply
    25,542.66x = 38,314.02 × 7,074.66
  4. Step 4: Simplify right side
    25,542.66x = 271,058,664.73
  5. Step 5: Solve for x
    x = 271,058,664.73/25,542.66
  6. Step 6: Final answer
    x = 10,612.00

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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.