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Finding the Fourth Proportional to 20,448.24, 30,675.60 and 6,594

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Solution

The fourth proportional to 20,448.24, 30,675.60 and 6,594 is: 9,892.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448.24 : 30,675.60 = 6,594 : x
  2. Step 2: Convert to fraction form
    20,448.24/30,675.60 = 6,594/x
  3. Step 3: Cross multiply
    20,448.24x = 30,675.60 × 6,594
  4. Step 4: Simplify right side
    20,448.24x = 202,274,906.40
  5. Step 5: Solve for x
    x = 202,274,906.40/20,448.24
  6. Step 6: Final answer
    x = 9,892.04

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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.