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Finding the Fourth Proportional to 20,027.68, 27,638.93 and 12,954.10

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Solution

The fourth proportional to 20,027.68, 27,638.93 and 12,954.10 is: 17,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,027.68 : 27,638.93 = 12,954.10 : x
  2. Step 2: Convert to fraction form
    20,027.68/27,638.93 = 12,954.10/x
  3. Step 3: Cross multiply
    20,027.68x = 27,638.93 × 12,954.10
  4. Step 4: Simplify right side
    20,027.68x = 358,037,463.11
  5. Step 5: Solve for x
    x = 358,037,463.11/20,027.68
  6. Step 6: Final answer
    x = 17,877.13

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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.