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Finding the Fourth Proportional to 17,863.20, 24,653.04 and 10,309.68

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Solution

The fourth proportional to 17,863.20, 24,653.04 and 10,309.68 is: 14,228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,863.20 : 24,653.04 = 10,309.68 : x
  2. Step 2: Convert to fraction form
    17,863.20/24,653.04 = 10,309.68/x
  3. Step 3: Cross multiply
    17,863.20x = 24,653.04 × 10,309.68
  4. Step 4: Simplify right side
    17,863.20x = 254,164,953.43
  5. Step 5: Solve for x
    x = 254,164,953.43/17,863.20
  6. Step 6: Final answer
    x = 14,228.41

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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.