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Finding the Fourth Proportional to 24,923.26, 37,362.72 and 9,117.33

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Solution

The fourth proportional to 24,923.26, 37,362.72 and 9,117.33 is: 13,667.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,923.26 : 37,362.72 = 9,117.33 : x
  2. Step 2: Convert to fraction form
    24,923.26/37,362.72 = 9,117.33/x
  3. Step 3: Cross multiply
    24,923.26x = 37,362.72 × 9,117.33
  4. Step 4: Simplify right side
    24,923.26x = 340,648,090.73
  5. Step 5: Solve for x
    x = 340,648,090.73/24,923.26
  6. Step 6: Final answer
    x = 13,667.88

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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.