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Finding the Fourth Proportional to 16,019.16, 24,033.13 and 7,706.13

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Solution

The fourth proportional to 16,019.16, 24,033.13 and 7,706.13 is: 11,561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,019.16 : 24,033.13 = 7,706.13 : x
  2. Step 2: Convert to fraction form
    16,019.16/24,033.13 = 7,706.13/x
  3. Step 3: Cross multiply
    16,019.16x = 24,033.13 × 7,706.13
  4. Step 4: Simplify right side
    16,019.16x = 185,202,385.56
  5. Step 5: Solve for x
    x = 185,202,385.56/16,019.16
  6. Step 6: Final answer
    x = 11,561.30

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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.