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Finding the Fourth Proportional to 27,384.98, 41,077.83 and 9,614.93

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Solution

The fourth proportional to 27,384.98, 41,077.83 and 9,614.93 is: 14,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,384.98 : 41,077.83 = 9,614.93 : x
  2. Step 2: Convert to fraction form
    27,384.98/41,077.83 = 9,614.93/x
  3. Step 3: Cross multiply
    27,384.98x = 41,077.83 × 9,614.93
  4. Step 4: Simplify right side
    27,384.98x = 394,960,254.61
  5. Step 5: Solve for x
    x = 394,960,254.61/27,384.98
  6. Step 6: Final answer
    x = 14,422.52

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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.