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Finding the Fourth Proportional to 13,835.20, 20,747.71 and 4,948.13

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Solution

The fourth proportional to 13,835.20, 20,747.71 and 4,948.13 is: 7,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,835.20 : 20,747.71 = 4,948.13 : x
  2. Step 2: Convert to fraction form
    13,835.20/20,747.71 = 4,948.13/x
  3. Step 3: Cross multiply
    13,835.20x = 20,747.71 × 4,948.13
  4. Step 4: Simplify right side
    13,835.20x = 102,662,366.28
  5. Step 5: Solve for x
    x = 102,662,366.28/13,835.20
  6. Step 6: Final answer
    x = 7,420.37

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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.