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Finding the Fourth Proportional to 24,393.48, 36,586.92 and 6,864.80

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Solution

The fourth proportional to 24,393.48, 36,586.92 and 6,864.80 is: 10,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,393.48 : 36,586.92 = 6,864.80 : x
  2. Step 2: Convert to fraction form
    24,393.48/36,586.92 = 6,864.80/x
  3. Step 3: Cross multiply
    24,393.48x = 36,586.92 × 6,864.80
  4. Step 4: Simplify right side
    24,393.48x = 251,161,888.42
  5. Step 5: Solve for x
    x = 251,161,888.42/24,393.48
  6. Step 6: Final answer
    x = 10,296.27

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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.