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Finding the Fourth Proportional to 22,921.76, 31,630.42 and 12,849.01

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Solution

The fourth proportional to 22,921.76, 31,630.42 and 12,849.01 is: 17,730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,921.76 : 31,630.42 = 12,849.01 : x
  2. Step 2: Convert to fraction form
    22,921.76/31,630.42 = 12,849.01/x
  3. Step 3: Cross multiply
    22,921.76x = 31,630.42 × 12,849.01
  4. Step 4: Simplify right side
    22,921.76x = 406,419,582.88
  5. Step 5: Solve for x
    x = 406,419,582.88/22,921.76
  6. Step 6: Final answer
    x = 17,730.73

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