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Finding the Fourth Proportional to 16,155, 24,233.04 and 5,766.48

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Solution

The fourth proportional to 16,155, 24,233.04 and 5,766.48 is: 8,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,155 : 24,233.04 = 5,766.48 : x
  2. Step 2: Convert to fraction form
    16,155/24,233.04 = 5,766.48/x
  3. Step 3: Cross multiply
    16,155x = 24,233.04 × 5,766.48
  4. Step 4: Simplify right side
    16,155x = 139,739,340.50
  5. Step 5: Solve for x
    x = 139,739,340.50/16,155
  6. Step 6: Final answer
    x = 8,649.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.