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Finding the Fourth Proportional to 15,729.77, 21,708.02 and 9,015.83

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Solution

The fourth proportional to 15,729.77, 21,708.02 and 9,015.83 is: 12,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.77 : 21,708.02 = 9,015.83 : x
  2. Step 2: Convert to fraction form
    15,729.77/21,708.02 = 9,015.83/x
  3. Step 3: Cross multiply
    15,729.77x = 21,708.02 × 9,015.83
  4. Step 4: Simplify right side
    15,729.77x = 195,715,921.90
  5. Step 5: Solve for x
    x = 195,715,921.90/15,729.77
  6. Step 6: Final answer
    x = 12,442.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.