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Finding the Fourth Proportional to 16,208.25, 24,319.70 and 9,282.75

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Solution

The fourth proportional to 16,208.25, 24,319.70 and 9,282.75 is: 13,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208.25 : 24,319.70 = 9,282.75 : x
  2. Step 2: Convert to fraction form
    16,208.25/24,319.70 = 9,282.75/x
  3. Step 3: Cross multiply
    16,208.25x = 24,319.70 × 9,282.75
  4. Step 4: Simplify right side
    16,208.25x = 225,753,648.76
  5. Step 5: Solve for x
    x = 225,753,648.76/16,208.25
  6. Step 6: Final answer
    x = 13,928.32

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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.