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Finding the Fourth Proportional to 20,993.64, 31,499.55 and 10,474.17

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Solution

The fourth proportional to 20,993.64, 31,499.55 and 10,474.17 is: 15,715.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.64 : 31,499.55 = 10,474.17 : x
  2. Step 2: Convert to fraction form
    20,993.64/31,499.55 = 10,474.17/x
  3. Step 3: Cross multiply
    20,993.64x = 31,499.55 × 10,474.17
  4. Step 4: Simplify right side
    20,993.64x = 329,931,641.62
  5. Step 5: Solve for x
    x = 329,931,641.62/20,993.64
  6. Step 6: Final answer
    x = 15,715.79

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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.