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Finding the Fourth Proportional to 21,532.14, 32,278.73 and 7,677.90

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Solution

The fourth proportional to 21,532.14, 32,278.73 and 7,677.90 is: 11,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532.14 : 32,278.73 = 7,677.90 : x
  2. Step 2: Convert to fraction form
    21,532.14/32,278.73 = 7,677.90/x
  3. Step 3: Cross multiply
    21,532.14x = 32,278.73 × 7,677.90
  4. Step 4: Simplify right side
    21,532.14x = 247,832,822.68
  5. Step 5: Solve for x
    x = 247,832,822.68/21,532.14
  6. Step 6: Final answer
    x = 11,509.90

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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.