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Finding the Fourth Proportional to 16,300.97, 24,446.18 and 5,205.06

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Solution

The fourth proportional to 16,300.97, 24,446.18 and 5,205.06 is: 7,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.97 : 24,446.18 = 5,205.06 : x
  2. Step 2: Convert to fraction form
    16,300.97/24,446.18 = 5,205.06/x
  3. Step 3: Cross multiply
    16,300.97x = 24,446.18 × 5,205.06
  4. Step 4: Simplify right side
    16,300.97x = 127,243,832.04
  5. Step 5: Solve for x
    x = 127,243,832.04/16,300.97
  6. Step 6: Final answer
    x = 7,805.90

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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.