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Finding the Fourth Proportional to 16,002.83, 22,085.14 and 8,834.15

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Solution

The fourth proportional to 16,002.83, 22,085.14 and 8,834.15 is: 12,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.83 : 22,085.14 = 8,834.15 : x
  2. Step 2: Convert to fraction form
    16,002.83/22,085.14 = 8,834.15/x
  3. Step 3: Cross multiply
    16,002.83x = 22,085.14 × 8,834.15
  4. Step 4: Simplify right side
    16,002.83x = 195,103,439.53
  5. Step 5: Solve for x
    x = 195,103,439.53/16,002.83
  6. Step 6: Final answer
    x = 12,191.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.