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Finding the Fourth Proportional to 27,885.66, 41,817.01 and 13,840.53

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Solution

The fourth proportional to 27,885.66, 41,817.01 and 13,840.53 is: 20,755.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,885.66 : 41,817.01 = 13,840.53 : x
  2. Step 2: Convert to fraction form
    27,885.66/41,817.01 = 13,840.53/x
  3. Step 3: Cross multiply
    27,885.66x = 41,817.01 × 13,840.53
  4. Step 4: Simplify right side
    27,885.66x = 578,769,581.42
  5. Step 5: Solve for x
    x = 578,769,581.42/27,885.66
  6. Step 6: Final answer
    x = 20,755.10

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Why These Related Problems?

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