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Finding the Fourth Proportional to 19,138.43, 28,713.49 and 9,785.02

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Solution

The fourth proportional to 19,138.43, 28,713.49 and 9,785.02 is: 14,680.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138.43 : 28,713.49 = 9,785.02 : x
  2. Step 2: Convert to fraction form
    19,138.43/28,713.49 = 9,785.02/x
  3. Step 3: Cross multiply
    19,138.43x = 28,713.49 × 9,785.02
  4. Step 4: Simplify right side
    19,138.43x = 280,962,010.87
  5. Step 5: Solve for x
    x = 280,962,010.87/19,138.43
  6. Step 6: Final answer
    x = 14,680.51

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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.