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Finding the Fourth Proportional to 10,015.80, 15,023.70 and 9,942.90

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Solution

The fourth proportional to 10,015.80, 15,023.70 and 9,942.90 is: 14,914.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.80 : 15,023.70 = 9,942.90 : x
  2. Step 2: Convert to fraction form
    10,015.80/15,023.70 = 9,942.90/x
  3. Step 3: Cross multiply
    10,015.80x = 15,023.70 × 9,942.90
  4. Step 4: Simplify right side
    10,015.80x = 149,379,146.73
  5. Step 5: Solve for x
    x = 149,379,146.73/10,015.80
  6. Step 6: Final answer
    x = 14,914.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.