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Finding the Fourth Proportional to 25,374.40, 38,065.66 and 7,840.12

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Solution

The fourth proportional to 25,374.40, 38,065.66 and 7,840.12 is: 11,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,374.40 : 38,065.66 = 7,840.12 : x
  2. Step 2: Convert to fraction form
    25,374.40/38,065.66 = 7,840.12/x
  3. Step 3: Cross multiply
    25,374.40x = 38,065.66 × 7,840.12
  4. Step 4: Simplify right side
    25,374.40x = 298,439,342.28
  5. Step 5: Solve for x
    x = 298,439,342.28/25,374.40
  6. Step 6: Final answer
    x = 11,761.43

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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.