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Finding the Fourth Proportional to 22,928.57, 34,402.74 and 12,406

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Solution

The fourth proportional to 22,928.57, 34,402.74 and 12,406 is: 18,614.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,928.57 : 34,402.74 = 12,406 : x
  2. Step 2: Convert to fraction form
    22,928.57/34,402.74 = 12,406/x
  3. Step 3: Cross multiply
    22,928.57x = 34,402.74 × 12,406
  4. Step 4: Simplify right side
    22,928.57x = 426,800,392.44
  5. Step 5: Solve for x
    x = 426,800,392.44/22,928.57
  6. Step 6: Final answer
    x = 18,614.35

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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.