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Finding the Fourth Proportional to 13,970.38, 20,969.33 and 10,262.20

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Solution

The fourth proportional to 13,970.38, 20,969.33 and 10,262.20 is: 15,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.38 : 20,969.33 = 10,262.20 : x
  2. Step 2: Convert to fraction form
    13,970.38/20,969.33 = 10,262.20/x
  3. Step 3: Cross multiply
    13,970.38x = 20,969.33 × 10,262.20
  4. Step 4: Simplify right side
    13,970.38x = 215,191,458.33
  5. Step 5: Solve for x
    x = 215,191,458.33/13,970.38
  6. Step 6: Final answer
    x = 15,403.41

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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.