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Finding the Fourth Proportional to 20,076.63, 27,718.74 and 12,909.75

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Solution

The fourth proportional to 20,076.63, 27,718.74 and 12,909.75 is: 17,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,076.63 : 27,718.74 = 12,909.75 : x
  2. Step 2: Convert to fraction form
    20,076.63/27,718.74 = 12,909.75/x
  3. Step 3: Cross multiply
    20,076.63x = 27,718.74 × 12,909.75
  4. Step 4: Simplify right side
    20,076.63x = 357,842,003.72
  5. Step 5: Solve for x
    x = 357,842,003.72/20,076.63
  6. Step 6: Final answer
    x = 17,823.81

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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.