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Finding the Fourth Proportional to 20,347.86, 30,537.42 and 9,106.68

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Solution

The fourth proportional to 20,347.86, 30,537.42 and 9,106.68 is: 13,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,347.86 : 30,537.42 = 9,106.68 : x
  2. Step 2: Convert to fraction form
    20,347.86/30,537.42 = 9,106.68/x
  3. Step 3: Cross multiply
    20,347.86x = 30,537.42 × 9,106.68
  4. Step 4: Simplify right side
    20,347.86x = 278,094,511.97
  5. Step 5: Solve for x
    x = 278,094,511.97/20,347.86
  6. Step 6: Final answer
    x = 13,667.02

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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.