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Finding the Fourth Proportional to 16,305.88, 24,446.85 and 5,206.18

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Solution

The fourth proportional to 16,305.88, 24,446.85 and 5,206.18 is: 7,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.88 : 24,446.85 = 5,206.18 : x
  2. Step 2: Convert to fraction form
    16,305.88/24,446.85 = 5,206.18/x
  3. Step 3: Cross multiply
    16,305.88x = 24,446.85 × 5,206.18
  4. Step 4: Simplify right side
    16,305.88x = 127,274,701.53
  5. Step 5: Solve for x
    x = 127,274,701.53/16,305.88
  6. Step 6: Final answer
    x = 7,805.45

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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.