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Finding the Fourth Proportional to 21,635.67, 32,456.84 and 9,155.76

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Solution

The fourth proportional to 21,635.67, 32,456.84 and 9,155.76 is: 13,735.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,635.67 : 32,456.84 = 9,155.76 : x
  2. Step 2: Convert to fraction form
    21,635.67/32,456.84 = 9,155.76/x
  3. Step 3: Cross multiply
    21,635.67x = 32,456.84 × 9,155.76
  4. Step 4: Simplify right side
    21,635.67x = 297,167,037.40
  5. Step 5: Solve for x
    x = 297,167,037.40/21,635.67
  6. Step 6: Final answer
    x = 13,735.05

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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.