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Finding the Fourth Proportional to 20,659.51, 30,947.68 and 9,550.90

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Solution

The fourth proportional to 20,659.51, 30,947.68 and 9,550.90 is: 14,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,659.51 : 30,947.68 = 9,550.90 : x
  2. Step 2: Convert to fraction form
    20,659.51/30,947.68 = 9,550.90/x
  3. Step 3: Cross multiply
    20,659.51x = 30,947.68 × 9,550.90
  4. Step 4: Simplify right side
    20,659.51x = 295,577,994.42
  5. Step 5: Solve for x
    x = 295,577,994.42/20,659.51
  6. Step 6: Final answer
    x = 14,307.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.