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Finding the Fourth Proportional to 27,543.60, 41,315.40 and 7,822.80

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Solution

The fourth proportional to 27,543.60, 41,315.40 and 7,822.80 is: 11,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,543.60 : 41,315.40 = 7,822.80 : x
  2. Step 2: Convert to fraction form
    27,543.60/41,315.40 = 7,822.80/x
  3. Step 3: Cross multiply
    27,543.60x = 41,315.40 × 7,822.80
  4. Step 4: Simplify right side
    27,543.60x = 323,202,111.12
  5. Step 5: Solve for x
    x = 323,202,111.12/27,543.60
  6. Step 6: Final answer
    x = 11,734.20

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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.