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Finding the Fourth Proportional to 21,578.53, 32,365.49 and 5,785.14

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Solution

The fourth proportional to 21,578.53, 32,365.49 and 5,785.14 is: 8,677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,578.53 : 32,365.49 = 5,785.14 : x
  2. Step 2: Convert to fraction form
    21,578.53/32,365.49 = 5,785.14/x
  3. Step 3: Cross multiply
    21,578.53x = 32,365.49 × 5,785.14
  4. Step 4: Simplify right side
    21,578.53x = 187,239,004.96
  5. Step 5: Solve for x
    x = 187,239,004.96/21,578.53
  6. Step 6: Final answer
    x = 8,677.10

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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.