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Finding the Fourth Proportional to 17,564.13, 24,230 and 10,392.09

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Solution

The fourth proportional to 17,564.13, 24,230 and 10,392.09 is: 14,336.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.13 : 24,230 = 10,392.09 : x
  2. Step 2: Convert to fraction form
    17,564.13/24,230 = 10,392.09/x
  3. Step 3: Cross multiply
    17,564.13x = 24,230 × 10,392.09
  4. Step 4: Simplify right side
    17,564.13x = 251,800,340.70
  5. Step 5: Solve for x
    x = 251,800,340.70/17,564.13
  6. Step 6: Final answer
    x = 14,336.06

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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.