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Finding the Fourth Proportional to 16,126.84, 24,197.16 and 7,813.12

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Solution

The fourth proportional to 16,126.84, 24,197.16 and 7,813.12 is: 11,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,126.84 : 24,197.16 = 7,813.12 : x
  2. Step 2: Convert to fraction form
    16,126.84/24,197.16 = 7,813.12/x
  3. Step 3: Cross multiply
    16,126.84x = 24,197.16 × 7,813.12
  4. Step 4: Simplify right side
    16,126.84x = 189,055,314.74
  5. Step 5: Solve for x
    x = 189,055,314.74/16,126.84
  6. Step 6: Final answer
    x = 11,723.02

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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.