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Finding the Fourth Proportional to 16,255.80, 24,384.40 and 5,589.51

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Solution

The fourth proportional to 16,255.80, 24,384.40 and 5,589.51 is: 8,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,255.80 : 24,384.40 = 5,589.51 : x
  2. Step 2: Convert to fraction form
    16,255.80/24,384.40 = 5,589.51/x
  3. Step 3: Cross multiply
    16,255.80x = 24,384.40 × 5,589.51
  4. Step 4: Simplify right side
    16,255.80x = 136,296,781.53
  5. Step 5: Solve for x
    x = 136,296,781.53/16,255.80
  6. Step 6: Final answer
    x = 8,384.50

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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.