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Finding the Fourth Proportional to 21,017.72, 31,499.33 and 8,523.15

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Solution

The fourth proportional to 21,017.72, 31,499.33 and 8,523.15 is: 12,773.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,017.72 : 31,499.33 = 8,523.15 : x
  2. Step 2: Convert to fraction form
    21,017.72/31,499.33 = 8,523.15/x
  3. Step 3: Cross multiply
    21,017.72x = 31,499.33 × 8,523.15
  4. Step 4: Simplify right side
    21,017.72x = 268,473,471.87
  5. Step 5: Solve for x
    x = 268,473,471.87/21,017.72
  6. Step 6: Final answer
    x = 12,773.68

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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.