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Finding the Fourth Proportional to 12,465.18, 17,203.80 and 8,215.59

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Solution

The fourth proportional to 12,465.18, 17,203.80 and 8,215.59 is: 11,338.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.18 : 17,203.80 = 8,215.59 : x
  2. Step 2: Convert to fraction form
    12,465.18/17,203.80 = 8,215.59/x
  3. Step 3: Cross multiply
    12,465.18x = 17,203.80 × 8,215.59
  4. Step 4: Simplify right side
    12,465.18x = 141,339,367.24
  5. Step 5: Solve for x
    x = 141,339,367.24/12,465.18
  6. Step 6: Final answer
    x = 11,338.73

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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.