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Finding the Fourth Proportional to 20,209.76, 27,867.18 and 13,837.40

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Solution

The fourth proportional to 20,209.76, 27,867.18 and 13,837.40 is: 19,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209.76 : 27,867.18 = 13,837.40 : x
  2. Step 2: Convert to fraction form
    20,209.76/27,867.18 = 13,837.40/x
  3. Step 3: Cross multiply
    20,209.76x = 27,867.18 × 13,837.40
  4. Step 4: Simplify right side
    20,209.76x = 385,609,316.53
  5. Step 5: Solve for x
    x = 385,609,316.53/20,209.76
  6. Step 6: Final answer
    x = 19,080.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.