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Finding the Fourth Proportional to 16,044.24, 24,065.40 and 6,188.40

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Solution

The fourth proportional to 16,044.24, 24,065.40 and 6,188.40 is: 9,282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,044.24 : 24,065.40 = 6,188.40 : x
  2. Step 2: Convert to fraction form
    16,044.24/24,065.40 = 6,188.40/x
  3. Step 3: Cross multiply
    16,044.24x = 24,065.40 × 6,188.40
  4. Step 4: Simplify right side
    16,044.24x = 148,926,321.36
  5. Step 5: Solve for x
    x = 148,926,321.36/16,044.24
  6. Step 6: Final answer
    x = 9,282.23

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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.