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Finding the Fourth Proportional to 16,019.84, 24,029.76 and 6,157.28

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Solution

The fourth proportional to 16,019.84, 24,029.76 and 6,157.28 is: 9,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,019.84 : 24,029.76 = 6,157.28 : x
  2. Step 2: Convert to fraction form
    16,019.84/24,029.76 = 6,157.28/x
  3. Step 3: Cross multiply
    16,019.84x = 24,029.76 × 6,157.28
  4. Step 4: Simplify right side
    16,019.84x = 147,957,960.65
  5. Step 5: Solve for x
    x = 147,957,960.65/16,019.84
  6. Step 6: Final answer
    x = 9,235.92

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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.