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Finding the Fourth Proportional to 24,287.94, 36,436.77 and 7,650.54

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Solution

The fourth proportional to 24,287.94, 36,436.77 and 7,650.54 is: 11,477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,287.94 : 36,436.77 = 7,650.54 : x
  2. Step 2: Convert to fraction form
    24,287.94/36,436.77 = 7,650.54/x
  3. Step 3: Cross multiply
    24,287.94x = 36,436.77 × 7,650.54
  4. Step 4: Simplify right side
    24,287.94x = 278,760,966.36
  5. Step 5: Solve for x
    x = 278,760,966.36/24,287.94
  6. Step 6: Final answer
    x = 11,477.34

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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.