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Finding the Fourth Proportional to 24,722.70, 37,069.09 and 9,711.85

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Solution

The fourth proportional to 24,722.70, 37,069.09 and 9,711.85 is: 14,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,722.70 : 37,069.09 = 9,711.85 : x
  2. Step 2: Convert to fraction form
    24,722.70/37,069.09 = 9,711.85/x
  3. Step 3: Cross multiply
    24,722.70x = 37,069.09 × 9,711.85
  4. Step 4: Simplify right side
    24,722.70x = 360,009,441.72
  5. Step 5: Solve for x
    x = 360,009,441.72/24,722.70
  6. Step 6: Final answer
    x = 14,561.90

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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.