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Finding the Fourth Proportional to 20,102.71, 27,723.58 and 12,549.74

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Solution

The fourth proportional to 20,102.71, 27,723.58 and 12,549.74 is: 17,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.71 : 27,723.58 = 12,549.74 : x
  2. Step 2: Convert to fraction form
    20,102.71/27,723.58 = 12,549.74/x
  3. Step 3: Cross multiply
    20,102.71x = 27,723.58 × 12,549.74
  4. Step 4: Simplify right side
    20,102.71x = 347,923,720.87
  5. Step 5: Solve for x
    x = 347,923,720.87/20,102.71
  6. Step 6: Final answer
    x = 17,307.30

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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.