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Finding the Fourth Proportional to 16,283.50, 24,427.04 and 5,187.58

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Solution

The fourth proportional to 16,283.50, 24,427.04 and 5,187.58 is: 7,781.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.50 : 24,427.04 = 5,187.58 : x
  2. Step 2: Convert to fraction form
    16,283.50/24,427.04 = 5,187.58/x
  3. Step 3: Cross multiply
    16,283.50x = 24,427.04 × 5,187.58
  4. Step 4: Simplify right side
    16,283.50x = 126,717,224.16
  5. Step 5: Solve for x
    x = 126,717,224.16/16,283.50
  6. Step 6: Final answer
    x = 7,781.94

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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.