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Finding the Fourth Proportional to 12,191.24, 16,823.62 and 6,885.88

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Solution

The fourth proportional to 12,191.24, 16,823.62 and 6,885.88 is: 9,502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.24 : 16,823.62 = 6,885.88 : x
  2. Step 2: Convert to fraction form
    12,191.24/16,823.62 = 6,885.88/x
  3. Step 3: Cross multiply
    12,191.24x = 16,823.62 × 6,885.88
  4. Step 4: Simplify right side
    12,191.24x = 115,845,428.49
  5. Step 5: Solve for x
    x = 115,845,428.49/12,191.24
  6. Step 6: Final answer
    x = 9,502.35

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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.