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Finding the Fourth Proportional to 21,538.76, 32,308.15 and 9,843.78

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Solution

The fourth proportional to 21,538.76, 32,308.15 and 9,843.78 is: 14,765.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.76 : 32,308.15 = 9,843.78 : x
  2. Step 2: Convert to fraction form
    21,538.76/32,308.15 = 9,843.78/x
  3. Step 3: Cross multiply
    21,538.76x = 32,308.15 × 9,843.78
  4. Step 4: Simplify right side
    21,538.76x = 318,034,320.81
  5. Step 5: Solve for x
    x = 318,034,320.81/21,538.76
  6. Step 6: Final answer
    x = 14,765.67

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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.