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Finding the Fourth Proportional to 22,282.57, 30,749.93 and 12,851.13

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Solution

The fourth proportional to 22,282.57, 30,749.93 and 12,851.13 is: 17,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282.57 : 30,749.93 = 12,851.13 : x
  2. Step 2: Convert to fraction form
    22,282.57/30,749.93 = 12,851.13/x
  3. Step 3: Cross multiply
    22,282.57x = 30,749.93 × 12,851.13
  4. Step 4: Simplify right side
    22,282.57x = 395,171,347.92
  5. Step 5: Solve for x
    x = 395,171,347.92/22,282.57
  6. Step 6: Final answer
    x = 17,734.55

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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.