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Finding the Fourth Proportional to 19,120.46, 28,659.20 and 9,734.13

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Solution

The fourth proportional to 19,120.46, 28,659.20 and 9,734.13 is: 14,590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,120.46 : 28,659.20 = 9,734.13 : x
  2. Step 2: Convert to fraction form
    19,120.46/28,659.20 = 9,734.13/x
  3. Step 3: Cross multiply
    19,120.46x = 28,659.20 × 9,734.13
  4. Step 4: Simplify right side
    19,120.46x = 278,972,329.83
  5. Step 5: Solve for x
    x = 278,972,329.83/19,120.46
  6. Step 6: Final answer
    x = 14,590.26

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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.