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Finding the Fourth Proportional to 25,146.61, 37,724.52 and 8,280.58

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Solution

The fourth proportional to 25,146.61, 37,724.52 and 8,280.58 is: 12,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,146.61 : 37,724.52 = 8,280.58 : x
  2. Step 2: Convert to fraction form
    25,146.61/37,724.52 = 8,280.58/x
  3. Step 3: Cross multiply
    25,146.61x = 37,724.52 × 8,280.58
  4. Step 4: Simplify right side
    25,146.61x = 312,380,905.82
  5. Step 5: Solve for x
    x = 312,380,905.82/25,146.61
  6. Step 6: Final answer
    x = 12,422.39

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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.