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Finding the Fourth Proportional to 12,085.92, 16,677.46 and 7,050.57

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Solution

The fourth proportional to 12,085.92, 16,677.46 and 7,050.57 is: 9,729.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.92 : 16,677.46 = 7,050.57 : x
  2. Step 2: Convert to fraction form
    12,085.92/16,677.46 = 7,050.57/x
  3. Step 3: Cross multiply
    12,085.92x = 16,677.46 × 7,050.57
  4. Step 4: Simplify right side
    12,085.92x = 117,585,599.15
  5. Step 5: Solve for x
    x = 117,585,599.15/12,085.92
  6. Step 6: Final answer
    x = 9,729.14

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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.