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Finding the Fourth Proportional to 22,907.54, 31,627.80 and 14,306.82

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Solution

The fourth proportional to 22,907.54, 31,627.80 and 14,306.82 is: 19,753.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,907.54 : 31,627.80 = 14,306.82 : x
  2. Step 2: Convert to fraction form
    22,907.54/31,627.80 = 14,306.82/x
  3. Step 3: Cross multiply
    22,907.54x = 31,627.80 × 14,306.82
  4. Step 4: Simplify right side
    22,907.54x = 452,493,241.60
  5. Step 5: Solve for x
    x = 452,493,241.60/22,907.54
  6. Step 6: Final answer
    x = 19,753.03

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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.