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Finding the Fourth Proportional to 20,142.84, 27,783.18 and 12,580.92

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Solution

The fourth proportional to 20,142.84, 27,783.18 and 12,580.92 is: 17,352.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142.84 : 27,783.18 = 12,580.92 : x
  2. Step 2: Convert to fraction form
    20,142.84/27,783.18 = 12,580.92/x
  3. Step 3: Cross multiply
    20,142.84x = 27,783.18 × 12,580.92
  4. Step 4: Simplify right side
    20,142.84x = 349,537,964.93
  5. Step 5: Solve for x
    x = 349,537,964.93/20,142.84
  6. Step 6: Final answer
    x = 17,352.96

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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.