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Finding the Fourth Proportional to 24,035.09, 36,046.55 and 7,164.20

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Solution

The fourth proportional to 24,035.09, 36,046.55 and 7,164.20 is: 10,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,035.09 : 36,046.55 = 7,164.20 : x
  2. Step 2: Convert to fraction form
    24,035.09/36,046.55 = 7,164.20/x
  3. Step 3: Cross multiply
    24,035.09x = 36,046.55 × 7,164.20
  4. Step 4: Simplify right side
    24,035.09x = 258,244,801.54
  5. Step 5: Solve for x
    x = 258,244,801.54/24,035.09
  6. Step 6: Final answer
    x = 10,744.49

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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.