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Finding the Fourth Proportional to 12,113.82, 16,717.95 and 6,809.58

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Solution

The fourth proportional to 12,113.82, 16,717.95 and 6,809.58 is: 9,397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.82 : 16,717.95 = 6,809.58 : x
  2. Step 2: Convert to fraction form
    12,113.82/16,717.95 = 6,809.58/x
  3. Step 3: Cross multiply
    12,113.82x = 16,717.95 × 6,809.58
  4. Step 4: Simplify right side
    12,113.82x = 113,842,217.96
  5. Step 5: Solve for x
    x = 113,842,217.96/12,113.82
  6. Step 6: Final answer
    x = 9,397.71

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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.