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Finding the Fourth Proportional to 24,380.70, 33,643.62 and 14,309.56

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Solution

The fourth proportional to 24,380.70, 33,643.62 and 14,309.56 is: 19,746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380.70 : 33,643.62 = 14,309.56 : x
  2. Step 2: Convert to fraction form
    24,380.70/33,643.62 = 14,309.56/x
  3. Step 3: Cross multiply
    24,380.70x = 33,643.62 × 14,309.56
  4. Step 4: Simplify right side
    24,380.70x = 481,425,399.01
  5. Step 5: Solve for x
    x = 481,425,399.01/24,380.70
  6. Step 6: Final answer
    x = 19,746.17

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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.