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Finding the Fourth Proportional to 24,213.98, 36,214.73 and 21,564.25

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Solution

The fourth proportional to 24,213.98, 36,214.73 and 21,564.25 is: 32,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,213.98 : 36,214.73 = 21,564.25 : x
  2. Step 2: Convert to fraction form
    24,213.98/36,214.73 = 21,564.25/x
  3. Step 3: Cross multiply
    24,213.98x = 36,214.73 × 21,564.25
  4. Step 4: Simplify right side
    24,213.98x = 780,943,475.76
  5. Step 5: Solve for x
    x = 780,943,475.76/24,213.98
  6. Step 6: Final answer
    x = 32,251.77

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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.