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Finding the Fourth Proportional to 18,357, 25,330.43 and 10,288.80

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Solution

The fourth proportional to 18,357, 25,330.43 and 10,288.80 is: 14,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,357 : 25,330.43 = 10,288.80 : x
  2. Step 2: Convert to fraction form
    18,357/25,330.43 = 10,288.80/x
  3. Step 3: Cross multiply
    18,357x = 25,330.43 × 10,288.80
  4. Step 4: Simplify right side
    18,357x = 260,619,728.18
  5. Step 5: Solve for x
    x = 260,619,728.18/18,357
  6. Step 6: Final answer
    x = 14,197.29

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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.