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Finding the Fourth Proportional to 24,009.25, 33,133.07 and 13,938.12

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Solution

The fourth proportional to 24,009.25, 33,133.07 and 13,938.12 is: 19,234.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,009.25 : 33,133.07 = 13,938.12 : x
  2. Step 2: Convert to fraction form
    24,009.25/33,133.07 = 13,938.12/x
  3. Step 3: Cross multiply
    24,009.25x = 33,133.07 × 13,938.12
  4. Step 4: Simplify right side
    24,009.25x = 461,812,470.27
  5. Step 5: Solve for x
    x = 461,812,470.27/24,009.25
  6. Step 6: Final answer
    x = 19,234.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.