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Finding the Fourth Proportional to 24,317, 36,475.80 and 6,788.19

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Solution

The fourth proportional to 24,317, 36,475.80 and 6,788.19 is: 10,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,317 : 36,475.80 = 6,788.19 : x
  2. Step 2: Convert to fraction form
    24,317/36,475.80 = 6,788.19/x
  3. Step 3: Cross multiply
    24,317x = 36,475.80 × 6,788.19
  4. Step 4: Simplify right side
    24,317x = 247,604,660.80
  5. Step 5: Solve for x
    x = 247,604,660.80/24,317
  6. Step 6: Final answer
    x = 10,182.37

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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.