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Finding the Fourth Proportional to 24,066.57, 33,213.11 and 14,509.50

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Solution

The fourth proportional to 24,066.57, 33,213.11 and 14,509.50 is: 20,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,066.57 : 33,213.11 = 14,509.50 : x
  2. Step 2: Convert to fraction form
    24,066.57/33,213.11 = 14,509.50/x
  3. Step 3: Cross multiply
    24,066.57x = 33,213.11 × 14,509.50
  4. Step 4: Simplify right side
    24,066.57x = 481,905,619.55
  5. Step 5: Solve for x
    x = 481,905,619.55/24,066.57
  6. Step 6: Final answer
    x = 20,023.86

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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.