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Finding the Fourth Proportional to 24,389.38, 36,584.08 and 6,859.20

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Solution

The fourth proportional to 24,389.38, 36,584.08 and 6,859.20 is: 10,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,389.38 : 36,584.08 = 6,859.20 : x
  2. Step 2: Convert to fraction form
    24,389.38/36,584.08 = 6,859.20/x
  3. Step 3: Cross multiply
    24,389.38x = 36,584.08 × 6,859.20
  4. Step 4: Simplify right side
    24,389.38x = 250,937,521.54
  5. Step 5: Solve for x
    x = 250,937,521.54/24,389.38
  6. Step 6: Final answer
    x = 10,288.80

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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.