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Finding the Fourth Proportional to 27,820.56, 41,701.68 and 13,017

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Solution

The fourth proportional to 27,820.56, 41,701.68 and 13,017 is: 19,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.56 : 41,701.68 = 13,017 : x
  2. Step 2: Convert to fraction form
    27,820.56/41,701.68 = 13,017/x
  3. Step 3: Cross multiply
    27,820.56x = 41,701.68 × 13,017
  4. Step 4: Simplify right side
    27,820.56x = 542,830,768.56
  5. Step 5: Solve for x
    x = 542,830,768.56/27,820.56
  6. Step 6: Final answer
    x = 19,511.86

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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.