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Finding the Fourth Proportional to 12,333.56, 17,026.90 and 8,306.16

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Solution

The fourth proportional to 12,333.56, 17,026.90 and 8,306.16 is: 11,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,333.56 : 17,026.90 = 8,306.16 : x
  2. Step 2: Convert to fraction form
    12,333.56/17,026.90 = 8,306.16/x
  3. Step 3: Cross multiply
    12,333.56x = 17,026.90 × 8,306.16
  4. Step 4: Simplify right side
    12,333.56x = 141,428,155.70
  5. Step 5: Solve for x
    x = 141,428,155.70/12,333.56
  6. Step 6: Final answer
    x = 11,466.94

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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.