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Finding the Fourth Proportional to 24,814.48, 37,227.80 and 12,340.40

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Solution

The fourth proportional to 24,814.48, 37,227.80 and 12,340.40 is: 18,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.48 : 37,227.80 = 12,340.40 : x
  2. Step 2: Convert to fraction form
    24,814.48/37,227.80 = 12,340.40/x
  3. Step 3: Cross multiply
    24,814.48x = 37,227.80 × 12,340.40
  4. Step 4: Simplify right side
    24,814.48x = 459,405,943.12
  5. Step 5: Solve for x
    x = 459,405,943.12/24,814.48
  6. Step 6: Final answer
    x = 18,513.62

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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.