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Finding the Fourth Proportional to 16,309.14, 24,472.08 and 7,989

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Solution

The fourth proportional to 16,309.14, 24,472.08 and 7,989 is: 11,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.14 : 24,472.08 = 7,989 : x
  2. Step 2: Convert to fraction form
    16,309.14/24,472.08 = 7,989/x
  3. Step 3: Cross multiply
    16,309.14x = 24,472.08 × 7,989
  4. Step 4: Simplify right side
    16,309.14x = 195,507,447.12
  5. Step 5: Solve for x
    x = 195,507,447.12/16,309.14
  6. Step 6: Final answer
    x = 11,987.60

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Why These Related Problems?

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