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Finding the Fourth Proportional to 24,036.36, 36,027 and 9,237.66

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Solution

The fourth proportional to 24,036.36, 36,027 and 9,237.66 is: 13,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,036.36 : 36,027 = 9,237.66 : x
  2. Step 2: Convert to fraction form
    24,036.36/36,027 = 9,237.66/x
  3. Step 3: Cross multiply
    24,036.36x = 36,027 × 9,237.66
  4. Step 4: Simplify right side
    24,036.36x = 332,805,176.82
  5. Step 5: Solve for x
    x = 332,805,176.82/24,036.36
  6. Step 6: Final answer
    x = 13,845.91

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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.