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Finding the Fourth Proportional to 12,292.69, 16,966.60 and 7,815.57

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Solution

The fourth proportional to 12,292.69, 16,966.60 and 7,815.57 is: 10,787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,292.69 : 16,966.60 = 7,815.57 : x
  2. Step 2: Convert to fraction form
    12,292.69/16,966.60 = 7,815.57/x
  3. Step 3: Cross multiply
    12,292.69x = 16,966.60 × 7,815.57
  4. Step 4: Simplify right side
    12,292.69x = 132,603,566.80
  5. Step 5: Solve for x
    x = 132,603,566.80/12,292.69
  6. Step 6: Final answer
    x = 10,787.19

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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.