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Finding the Fourth Proportional to 16,301.54, 24,443.12 and 5,205.62

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Solution

The fourth proportional to 16,301.54, 24,443.12 and 5,205.62 is: 7,805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.54 : 24,443.12 = 5,205.62 : x
  2. Step 2: Convert to fraction form
    16,301.54/24,443.12 = 5,205.62/x
  3. Step 3: Cross multiply
    16,301.54x = 24,443.12 × 5,205.62
  4. Step 4: Simplify right side
    16,301.54x = 127,241,485.13
  5. Step 5: Solve for x
    x = 127,241,485.13/16,301.54
  6. Step 6: Final answer
    x = 7,805.49

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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.