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Finding the Fourth Proportional to 27,426.76, 41,142.54 and 7,705.48

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Solution

The fourth proportional to 27,426.76, 41,142.54 and 7,705.48 is: 11,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,426.76 : 41,142.54 = 7,705.48 : x
  2. Step 2: Convert to fraction form
    27,426.76/41,142.54 = 7,705.48/x
  3. Step 3: Cross multiply
    27,426.76x = 41,142.54 × 7,705.48
  4. Step 4: Simplify right side
    27,426.76x = 317,023,019.12
  5. Step 5: Solve for x
    x = 317,023,019.12/27,426.76
  6. Step 6: Final answer
    x = 11,558.89

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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.