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Finding the Fourth Proportional to 15,816.12, 21,825.92 and 8,742.38

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Solution

The fourth proportional to 15,816.12, 21,825.92 and 8,742.38 is: 12,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,816.12 : 21,825.92 = 8,742.38 : x
  2. Step 2: Convert to fraction form
    15,816.12/21,825.92 = 8,742.38/x
  3. Step 3: Cross multiply
    15,816.12x = 21,825.92 × 8,742.38
  4. Step 4: Simplify right side
    15,816.12x = 190,810,486.49
  5. Step 5: Solve for x
    x = 190,810,486.49/15,816.12
  6. Step 6: Final answer
    x = 12,064.30

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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.