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Finding the Fourth Proportional to 13,468.06, 20,206.96 and 6,897.34

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Solution

The fourth proportional to 13,468.06, 20,206.96 and 6,897.34 is: 10,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,468.06 : 20,206.96 = 6,897.34 : x
  2. Step 2: Convert to fraction form
    13,468.06/20,206.96 = 6,897.34/x
  3. Step 3: Cross multiply
    13,468.06x = 20,206.96 × 6,897.34
  4. Step 4: Simplify right side
    13,468.06x = 139,374,273.49
  5. Step 5: Solve for x
    x = 139,374,273.49/13,468.06
  6. Step 6: Final answer
    x = 10,348.50

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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.