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Finding the Fourth Proportional to 22,822.40, 34,227.84 and 8,971.52

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Solution

The fourth proportional to 22,822.40, 34,227.84 and 8,971.52 is: 13,455.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,822.40 : 34,227.84 = 8,971.52 : x
  2. Step 2: Convert to fraction form
    22,822.40/34,227.84 = 8,971.52/x
  3. Step 3: Cross multiply
    22,822.40x = 34,227.84 × 8,971.52
  4. Step 4: Simplify right side
    22,822.40x = 307,075,751.12
  5. Step 5: Solve for x
    x = 307,075,751.12/22,822.40
  6. Step 6: Final answer
    x = 13,455.02

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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.