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Finding the Fourth Proportional to 13,869.32, 20,806.04 and 5,103.60

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Solution

The fourth proportional to 13,869.32, 20,806.04 and 5,103.60 is: 7,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,869.32 : 20,806.04 = 5,103.60 : x
  2. Step 2: Convert to fraction form
    13,869.32/20,806.04 = 5,103.60/x
  3. Step 3: Cross multiply
    13,869.32x = 20,806.04 × 5,103.60
  4. Step 4: Simplify right side
    13,869.32x = 106,185,705.74
  5. Step 5: Solve for x
    x = 106,185,705.74/13,869.32
  6. Step 6: Final answer
    x = 7,656.16

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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.