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Finding the Fourth Proportional to 20,948.52, 31,418.22 and 7,441.50

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Solution

The fourth proportional to 20,948.52, 31,418.22 and 7,441.50 is: 11,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,948.52 : 31,418.22 = 7,441.50 : x
  2. Step 2: Convert to fraction form
    20,948.52/31,418.22 = 7,441.50/x
  3. Step 3: Cross multiply
    20,948.52x = 31,418.22 × 7,441.50
  4. Step 4: Simplify right side
    20,948.52x = 233,798,684.13
  5. Step 5: Solve for x
    x = 233,798,684.13/20,948.52
  6. Step 6: Final answer
    x = 11,160.63

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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.