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Finding the Fourth Proportional to 25,184.52, 37,778.94 and 9,384.66

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Solution

The fourth proportional to 25,184.52, 37,778.94 and 9,384.66 is: 14,077.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,184.52 : 37,778.94 = 9,384.66 : x
  2. Step 2: Convert to fraction form
    25,184.52/37,778.94 = 9,384.66/x
  3. Step 3: Cross multiply
    25,184.52x = 37,778.94 × 9,384.66
  4. Step 4: Simplify right side
    25,184.52x = 354,542,507.06
  5. Step 5: Solve for x
    x = 354,542,507.06/25,184.52
  6. Step 6: Final answer
    x = 14,077.79

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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.