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Finding the Fourth Proportional to 27,535.86, 41,303.06 and 7,814.42

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Solution

The fourth proportional to 27,535.86, 41,303.06 and 7,814.42 is: 11,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,535.86 : 41,303.06 = 7,814.42 : x
  2. Step 2: Convert to fraction form
    27,535.86/41,303.06 = 7,814.42/x
  3. Step 3: Cross multiply
    27,535.86x = 41,303.06 × 7,814.42
  4. Step 4: Simplify right side
    27,535.86x = 322,759,458.13
  5. Step 5: Solve for x
    x = 322,759,458.13/27,535.86
  6. Step 6: Final answer
    x = 11,721.42

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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.