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Finding the Fourth Proportional to 16,231.41, 24,347.13 and 7,472.46

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Solution

The fourth proportional to 16,231.41, 24,347.13 and 7,472.46 is: 11,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.41 : 24,347.13 = 7,472.46 : x
  2. Step 2: Convert to fraction form
    16,231.41/24,347.13 = 7,472.46/x
  3. Step 3: Cross multiply
    16,231.41x = 24,347.13 × 7,472.46
  4. Step 4: Simplify right side
    16,231.41x = 181,932,955.04
  5. Step 5: Solve for x
    x = 181,932,955.04/16,231.41
  6. Step 6: Final answer
    x = 11,208.70

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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.