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Finding the Fourth Proportional to 22,921.38, 34,391.85 and 9,597.48

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Solution

The fourth proportional to 22,921.38, 34,391.85 and 9,597.48 is: 14,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,921.38 : 34,391.85 = 9,597.48 : x
  2. Step 2: Convert to fraction form
    22,921.38/34,391.85 = 9,597.48/x
  3. Step 3: Cross multiply
    22,921.38x = 34,391.85 × 9,597.48
  4. Step 4: Simplify right side
    22,921.38x = 330,075,092.54
  5. Step 5: Solve for x
    x = 330,075,092.54/22,921.38
  6. Step 6: Final answer
    x = 14,400.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.