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Finding the Fourth Proportional to 16,033.85, 24,047.13 and 7,708.67

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Solution

The fourth proportional to 16,033.85, 24,047.13 and 7,708.67 is: 11,561.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,033.85 : 24,047.13 = 7,708.67 : x
  2. Step 2: Convert to fraction form
    16,033.85/24,047.13 = 7,708.67/x
  3. Step 3: Cross multiply
    16,033.85x = 24,047.13 × 7,708.67
  4. Step 4: Simplify right side
    16,033.85x = 185,371,389.62
  5. Step 5: Solve for x
    x = 185,371,389.62/16,033.85
  6. Step 6: Final answer
    x = 11,561.25

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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.