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Finding the Fourth Proportional to 20,346.76, 30,511.50 and 9,250.12

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Solution

The fourth proportional to 20,346.76, 30,511.50 and 9,250.12 is: 13,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,346.76 : 30,511.50 = 9,250.12 : x
  2. Step 2: Convert to fraction form
    20,346.76/30,511.50 = 9,250.12/x
  3. Step 3: Cross multiply
    20,346.76x = 30,511.50 × 9,250.12
  4. Step 4: Simplify right side
    20,346.76x = 282,235,036.38
  5. Step 5: Solve for x
    x = 282,235,036.38/20,346.76
  6. Step 6: Final answer
    x = 13,871.25

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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.