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Finding the Fourth Proportional to 24,401, 36,601.52 and 6,870.83

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Solution

The fourth proportional to 24,401, 36,601.52 and 6,870.83 is: 10,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,401 : 36,601.52 = 6,870.83 : x
  2. Step 2: Convert to fraction form
    24,401/36,601.52 = 6,870.83/x
  3. Step 3: Cross multiply
    24,401x = 36,601.52 × 6,870.83
  4. Step 4: Simplify right side
    24,401x = 251,482,821.66
  5. Step 5: Solve for x
    x = 251,482,821.66/24,401
  6. Step 6: Final answer
    x = 10,306.25

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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.