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Finding the Fourth Proportional to 13,902.59, 20,856.60 and 6,111.38

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Solution

The fourth proportional to 13,902.59, 20,856.60 and 6,111.38 is: 9,168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.59 : 20,856.60 = 6,111.38 : x
  2. Step 2: Convert to fraction form
    13,902.59/20,856.60 = 6,111.38/x
  3. Step 3: Cross multiply
    13,902.59x = 20,856.60 × 6,111.38
  4. Step 4: Simplify right side
    13,902.59x = 127,462,503.83
  5. Step 5: Solve for x
    x = 127,462,503.83/13,902.59
  6. Step 6: Final answer
    x = 9,168.26

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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.