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Finding the Fourth Proportional to 27,764.01, 41,648.27 and 9,039.06

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Solution

The fourth proportional to 27,764.01, 41,648.27 and 9,039.06 is: 13,559.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764.01 : 41,648.27 = 9,039.06 : x
  2. Step 2: Convert to fraction form
    27,764.01/41,648.27 = 9,039.06/x
  3. Step 3: Cross multiply
    27,764.01x = 41,648.27 × 9,039.06
  4. Step 4: Simplify right side
    27,764.01x = 376,461,166.23
  5. Step 5: Solve for x
    x = 376,461,166.23/27,764.01
  6. Step 6: Final answer
    x = 13,559.32

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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.