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Finding the Fourth Proportional to 16,074.24, 24,126.95 and 7,760.12

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Solution

The fourth proportional to 16,074.24, 24,126.95 and 7,760.12 is: 11,647.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.24 : 24,126.95 = 7,760.12 : x
  2. Step 2: Convert to fraction form
    16,074.24/24,126.95 = 7,760.12/x
  3. Step 3: Cross multiply
    16,074.24x = 24,126.95 × 7,760.12
  4. Step 4: Simplify right side
    16,074.24x = 187,227,867.80
  5. Step 5: Solve for x
    x = 187,227,867.80/16,074.24
  6. Step 6: Final answer
    x = 11,647.70

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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.