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Finding the Fourth Proportional to 13,822.29, 20,740.11 and 6,798.50

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Solution

The fourth proportional to 13,822.29, 20,740.11 and 6,798.50 is: 10,201.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.29 : 20,740.11 = 6,798.50 : x
  2. Step 2: Convert to fraction form
    13,822.29/20,740.11 = 6,798.50/x
  3. Step 3: Cross multiply
    13,822.29x = 20,740.11 × 6,798.50
  4. Step 4: Simplify right side
    13,822.29x = 141,001,534.13
  5. Step 5: Solve for x
    x = 141,001,534.13/13,822.29
  6. Step 6: Final answer
    x = 10,201.03

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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.