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Finding the Fourth Proportional to 20,101.71, 27,722.21 and 12,548.74

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Solution

The fourth proportional to 20,101.71, 27,722.21 and 12,548.74 is: 17,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.71 : 27,722.21 = 12,548.74 : x
  2. Step 2: Convert to fraction form
    20,101.71/27,722.21 = 12,548.74/x
  3. Step 3: Cross multiply
    20,101.71x = 27,722.21 × 12,548.74
  4. Step 4: Simplify right side
    20,101.71x = 347,878,725.45
  5. Step 5: Solve for x
    x = 347,878,725.45/20,101.71
  6. Step 6: Final answer
    x = 17,305.93

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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.