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Finding the Fourth Proportional to 20,054.65, 30,062.14 and 9,506.17

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Solution

The fourth proportional to 20,054.65, 30,062.14 and 9,506.17 is: 14,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,054.65 : 30,062.14 = 9,506.17 : x
  2. Step 2: Convert to fraction form
    20,054.65/30,062.14 = 9,506.17/x
  3. Step 3: Cross multiply
    20,054.65x = 30,062.14 × 9,506.17
  4. Step 4: Simplify right side
    20,054.65x = 285,775,813.40
  5. Step 5: Solve for x
    x = 285,775,813.40/20,054.65
  6. Step 6: Final answer
    x = 14,249.85

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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.