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Finding the Fourth Proportional to 16,295.16, 24,443.20 and 5,763.69

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Solution

The fourth proportional to 16,295.16, 24,443.20 and 5,763.69 is: 8,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,295.16 : 24,443.20 = 5,763.69 : x
  2. Step 2: Convert to fraction form
    16,295.16/24,443.20 = 5,763.69/x
  3. Step 3: Cross multiply
    16,295.16x = 24,443.20 × 5,763.69
  4. Step 4: Simplify right side
    16,295.16x = 140,883,027.41
  5. Step 5: Solve for x
    x = 140,883,027.41/16,295.16
  6. Step 6: Final answer
    x = 8,645.70

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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.