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Finding the Fourth Proportional to 27,535.89, 41,303.82 and 7,814.61

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Solution

The fourth proportional to 27,535.89, 41,303.82 and 7,814.61 is: 11,721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,535.89 : 41,303.82 = 7,814.61 : x
  2. Step 2: Convert to fraction form
    27,535.89/41,303.82 = 7,814.61/x
  3. Step 3: Cross multiply
    27,535.89x = 41,303.82 × 7,814.61
  4. Step 4: Simplify right side
    27,535.89x = 322,773,244.81
  5. Step 5: Solve for x
    x = 322,773,244.81/27,535.89
  6. Step 6: Final answer
    x = 11,721.91

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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.