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Finding the Fourth Proportional to 12,215.16, 16,854.12 and 6,908.82

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Solution

The fourth proportional to 12,215.16, 16,854.12 and 6,908.82 is: 9,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.16 : 16,854.12 = 6,908.82 : x
  2. Step 2: Convert to fraction form
    12,215.16/16,854.12 = 6,908.82/x
  3. Step 3: Cross multiply
    12,215.16x = 16,854.12 × 6,908.82
  4. Step 4: Simplify right side
    12,215.16x = 116,442,081.34
  5. Step 5: Solve for x
    x = 116,442,081.34/12,215.16
  6. Step 6: Final answer
    x = 9,532.59

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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.