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Finding the Fourth Proportional to 25,238.15, 37,856.05 and 9,442.03

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Solution

The fourth proportional to 25,238.15, 37,856.05 and 9,442.03 is: 14,162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,238.15 : 37,856.05 = 9,442.03 : x
  2. Step 2: Convert to fraction form
    25,238.15/37,856.05 = 9,442.03/x
  3. Step 3: Cross multiply
    25,238.15x = 37,856.05 × 9,442.03
  4. Step 4: Simplify right side
    25,238.15x = 357,437,959.78
  5. Step 5: Solve for x
    x = 357,437,959.78/25,238.15
  6. Step 6: Final answer
    x = 14,162.61

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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.