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Finding the Fourth Proportional to 12,187.29, 16,815.57 and 7,407.15

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Solution

The fourth proportional to 12,187.29, 16,815.57 and 7,407.15 is: 10,220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.29 : 16,815.57 = 7,407.15 : x
  2. Step 2: Convert to fraction form
    12,187.29/16,815.57 = 7,407.15/x
  3. Step 3: Cross multiply
    12,187.29x = 16,815.57 × 7,407.15
  4. Step 4: Simplify right side
    12,187.29x = 124,555,449.33
  5. Step 5: Solve for x
    x = 124,555,449.33/12,187.29
  6. Step 6: Final answer
    x = 10,220.11

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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.