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Finding the Fourth Proportional to 13,306.95, 18,352.31 and 8,000.78

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Solution

The fourth proportional to 13,306.95, 18,352.31 and 8,000.78 is: 11,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,306.95 : 18,352.31 = 8,000.78 : x
  2. Step 2: Convert to fraction form
    13,306.95/18,352.31 = 8,000.78/x
  3. Step 3: Cross multiply
    13,306.95x = 18,352.31 × 8,000.78
  4. Step 4: Simplify right side
    13,306.95x = 146,832,663.04
  5. Step 5: Solve for x
    x = 146,832,663.04/13,306.95
  6. Step 6: Final answer
    x = 11,034.28

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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.