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Finding the Fourth Proportional to 22,954.52, 31,675.38 and 12,881.56

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Solution

The fourth proportional to 22,954.52, 31,675.38 and 12,881.56 is: 17,775.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,954.52 : 31,675.38 = 12,881.56 : x
  2. Step 2: Convert to fraction form
    22,954.52/31,675.38 = 12,881.56/x
  3. Step 3: Cross multiply
    22,954.52x = 31,675.38 × 12,881.56
  4. Step 4: Simplify right side
    22,954.52x = 408,028,307.99
  5. Step 5: Solve for x
    x = 408,028,307.99/22,954.52
  6. Step 6: Final answer
    x = 17,775.51

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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.