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Finding the Fourth Proportional to 16,354.57, 24,535.50 and 5,966.32

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Solution

The fourth proportional to 16,354.57, 24,535.50 and 5,966.32 is: 8,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354.57 : 24,535.50 = 5,966.32 : x
  2. Step 2: Convert to fraction form
    16,354.57/24,535.50 = 5,966.32/x
  3. Step 3: Cross multiply
    16,354.57x = 24,535.50 × 5,966.32
  4. Step 4: Simplify right side
    16,354.57x = 146,386,644.36
  5. Step 5: Solve for x
    x = 146,386,644.36/16,354.57
  6. Step 6: Final answer
    x = 8,950.81

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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.