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Finding the Fourth Proportional to 17,872.68, 24,664.14 and 10,320.60

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Solution

The fourth proportional to 17,872.68, 24,664.14 and 10,320.60 is: 14,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,872.68 : 24,664.14 = 10,320.60 : x
  2. Step 2: Convert to fraction form
    17,872.68/24,664.14 = 10,320.60/x
  3. Step 3: Cross multiply
    17,872.68x = 24,664.14 × 10,320.60
  4. Step 4: Simplify right side
    17,872.68x = 254,548,723.28
  5. Step 5: Solve for x
    x = 254,548,723.28/17,872.68
  6. Step 6: Final answer
    x = 14,242.34

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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.