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Finding the Fourth Proportional to 24,430.36, 36,650.42 and 7,789.84

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Solution

The fourth proportional to 24,430.36, 36,650.42 and 7,789.84 is: 11,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,430.36 : 36,650.42 = 7,789.84 : x
  2. Step 2: Convert to fraction form
    24,430.36/36,650.42 = 7,789.84/x
  3. Step 3: Cross multiply
    24,430.36x = 36,650.42 × 7,789.84
  4. Step 4: Simplify right side
    24,430.36x = 285,500,907.73
  5. Step 5: Solve for x
    x = 285,500,907.73/24,430.36
  6. Step 6: Final answer
    x = 11,686.32

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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.