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Finding the Fourth Proportional to 16,356.16, 24,537.12 and 5,982.40

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Solution

The fourth proportional to 16,356.16, 24,537.12 and 5,982.40 is: 8,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356.16 : 24,537.12 = 5,982.40 : x
  2. Step 2: Convert to fraction form
    16,356.16/24,537.12 = 5,982.40/x
  3. Step 3: Cross multiply
    16,356.16x = 24,537.12 × 5,982.40
  4. Step 4: Simplify right side
    16,356.16x = 146,790,866.69
  5. Step 5: Solve for x
    x = 146,790,866.69/16,356.16
  6. Step 6: Final answer
    x = 8,974.65

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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.