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Finding the Fourth Proportional to 16,033.14, 24,049.74 and 6,177.06

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Solution

The fourth proportional to 16,033.14, 24,049.74 and 6,177.06 is: 9,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,033.14 : 24,049.74 = 6,177.06 : x
  2. Step 2: Convert to fraction form
    16,033.14/24,049.74 = 6,177.06/x
  3. Step 3: Cross multiply
    16,033.14x = 24,049.74 × 6,177.06
  4. Step 4: Simplify right side
    16,033.14x = 148,556,686.96
  5. Step 5: Solve for x
    x = 148,556,686.96/16,033.14
  6. Step 6: Final answer
    x = 9,265.60

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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.