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Finding the Fourth Proportional to 12,884.58, 19,414.62 and 10,595.85

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Solution

The fourth proportional to 12,884.58, 19,414.62 and 10,595.85 is: 15,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.58 : 19,414.62 = 10,595.85 : x
  2. Step 2: Convert to fraction form
    12,884.58/19,414.62 = 10,595.85/x
  3. Step 3: Cross multiply
    12,884.58x = 19,414.62 × 10,595.85
  4. Step 4: Simplify right side
    12,884.58x = 205,714,401.33
  5. Step 5: Solve for x
    x = 205,714,401.33/12,884.58
  6. Step 6: Final answer
    x = 15,965.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.