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Finding the Fourth Proportional to 13,885.50, 20,827.64 and 4,024.56

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Solution

The fourth proportional to 13,885.50, 20,827.64 and 4,024.56 is: 6,036.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.50 : 20,827.64 = 4,024.56 : x
  2. Step 2: Convert to fraction form
    13,885.50/20,827.64 = 4,024.56/x
  3. Step 3: Cross multiply
    13,885.50x = 20,827.64 × 4,024.56
  4. Step 4: Simplify right side
    13,885.50x = 83,822,086.84
  5. Step 5: Solve for x
    x = 83,822,086.84/13,885.50
  6. Step 6: Final answer
    x = 6,036.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.