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Finding the Fourth Proportional to 13,840.07, 20,764.07 and 6,822.18

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Solution

The fourth proportional to 13,840.07, 20,764.07 and 6,822.18 is: 10,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,840.07 : 20,764.07 = 6,822.18 : x
  2. Step 2: Convert to fraction form
    13,840.07/20,764.07 = 6,822.18/x
  3. Step 3: Cross multiply
    13,840.07x = 20,764.07 × 6,822.18
  4. Step 4: Simplify right side
    13,840.07x = 141,656,223.07
  5. Step 5: Solve for x
    x = 141,656,223.07/13,840.07
  6. Step 6: Final answer
    x = 10,235.22

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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.