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Finding the Fourth Proportional to 22,426.96, 30,947.37 and 12,866.74

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Solution

The fourth proportional to 22,426.96, 30,947.37 and 12,866.74 is: 17,755.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,426.96 : 30,947.37 = 12,866.74 : x
  2. Step 2: Convert to fraction form
    22,426.96/30,947.37 = 12,866.74/x
  3. Step 3: Cross multiply
    22,426.96x = 30,947.37 × 12,866.74
  4. Step 4: Simplify right side
    22,426.96x = 398,191,763.47
  5. Step 5: Solve for x
    x = 398,191,763.47/22,426.96
  6. Step 6: Final answer
    x = 17,755.05

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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.