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Finding the Fourth Proportional to 16,121.60, 24,182.40 and 9,209.60

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Solution

The fourth proportional to 16,121.60, 24,182.40 and 9,209.60 is: 13,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,121.60 : 24,182.40 = 9,209.60 : x
  2. Step 2: Convert to fraction form
    16,121.60/24,182.40 = 9,209.60/x
  3. Step 3: Cross multiply
    16,121.60x = 24,182.40 × 9,209.60
  4. Step 4: Simplify right side
    16,121.60x = 222,710,231.04
  5. Step 5: Solve for x
    x = 222,710,231.04/16,121.60
  6. Step 6: Final answer
    x = 13,814.40

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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.