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Finding the Fourth Proportional to 16,232.67, 24,352.31 and 6,237

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Solution

The fourth proportional to 16,232.67, 24,352.31 and 6,237 is: 9,356.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.67 : 24,352.31 = 6,237 : x
  2. Step 2: Convert to fraction form
    16,232.67/24,352.31 = 6,237/x
  3. Step 3: Cross multiply
    16,232.67x = 24,352.31 × 6,237
  4. Step 4: Simplify right side
    16,232.67x = 151,885,373.06
  5. Step 5: Solve for x
    x = 151,885,373.06/16,232.67
  6. Step 6: Final answer
    x = 9,356.77

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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.