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Finding the Fourth Proportional to 22,756.08, 34,138.74 and 9,608.40

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Solution

The fourth proportional to 22,756.08, 34,138.74 and 9,608.40 is: 14,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,756.08 : 34,138.74 = 9,608.40 : x
  2. Step 2: Convert to fraction form
    22,756.08/34,138.74 = 9,608.40/x
  3. Step 3: Cross multiply
    22,756.08x = 34,138.74 × 9,608.40
  4. Step 4: Simplify right side
    22,756.08x = 328,018,669.42
  5. Step 5: Solve for x
    x = 328,018,669.42/22,756.08
  6. Step 6: Final answer
    x = 14,414.55

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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.