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Finding the Fourth Proportional to 16,219.46, 24,320.88 and 7,446.75

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Solution

The fourth proportional to 16,219.46, 24,320.88 and 7,446.75 is: 11,166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.46 : 24,320.88 = 7,446.75 : x
  2. Step 2: Convert to fraction form
    16,219.46/24,320.88 = 7,446.75/x
  3. Step 3: Cross multiply
    16,219.46x = 24,320.88 × 7,446.75
  4. Step 4: Simplify right side
    16,219.46x = 181,111,513.14
  5. Step 5: Solve for x
    x = 181,111,513.14/16,219.46
  6. Step 6: Final answer
    x = 11,166.31

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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.