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Finding the Fourth Proportional to 24,199, 33,318.24 and 21,984.40

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Solution

The fourth proportional to 24,199, 33,318.24 and 21,984.40 is: 30,269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199 : 33,318.24 = 21,984.40 : x
  2. Step 2: Convert to fraction form
    24,199/33,318.24 = 21,984.40/x
  3. Step 3: Cross multiply
    24,199x = 33,318.24 × 21,984.40
  4. Step 4: Simplify right side
    24,199x = 732,481,515.46
  5. Step 5: Solve for x
    x = 732,481,515.46/24,199
  6. Step 6: Final answer
    x = 30,269.08

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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.