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Finding the Fourth Proportional to 24,462.02, 36,699.20 and 6,932

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Solution

The fourth proportional to 24,462.02, 36,699.20 and 6,932 is: 10,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462.02 : 36,699.20 = 6,932 : x
  2. Step 2: Convert to fraction form
    24,462.02/36,699.20 = 6,932/x
  3. Step 3: Cross multiply
    24,462.02x = 36,699.20 × 6,932
  4. Step 4: Simplify right side
    24,462.02x = 254,398,854.40
  5. Step 5: Solve for x
    x = 254,398,854.40/24,462.02
  6. Step 6: Final answer
    x = 10,399.75

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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.