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Finding the Fourth Proportional to 13,897.36, 20,836.32 and 6,968.08

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Solution

The fourth proportional to 13,897.36, 20,836.32 and 6,968.08 is: 10,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.36 : 20,836.32 = 6,968.08 : x
  2. Step 2: Convert to fraction form
    13,897.36/20,836.32 = 6,968.08/x
  3. Step 3: Cross multiply
    13,897.36x = 20,836.32 × 6,968.08
  4. Step 4: Simplify right side
    13,897.36x = 145,189,144.67
  5. Step 5: Solve for x
    x = 145,189,144.67/13,897.36
  6. Step 6: Final answer
    x = 10,447.25

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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.