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Finding the Fourth Proportional to 10,230.24, 15,345.66 and 3,990

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Solution

The fourth proportional to 10,230.24, 15,345.66 and 3,990 is: 5,985.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.24 : 15,345.66 = 3,990 : x
  2. Step 2: Convert to fraction form
    10,230.24/15,345.66 = 3,990/x
  3. Step 3: Cross multiply
    10,230.24x = 15,345.66 × 3,990
  4. Step 4: Simplify right side
    10,230.24x = 61,229,163.45
  5. Step 5: Solve for x
    x = 61,229,163.45/10,230.24
  6. Step 6: Final answer
    x = 5,985.12

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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.