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Finding the Fourth Proportional to 17,402.34, 24,007.24 and 10,326.18

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Solution

The fourth proportional to 17,402.34, 24,007.24 and 10,326.18 is: 14,245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,402.34 : 24,007.24 = 10,326.18 : x
  2. Step 2: Convert to fraction form
    17,402.34/24,007.24 = 10,326.18/x
  3. Step 3: Cross multiply
    17,402.34x = 24,007.24 × 10,326.18
  4. Step 4: Simplify right side
    17,402.34x = 247,903,081.54
  5. Step 5: Solve for x
    x = 247,903,081.54/17,402.34
  6. Step 6: Final answer
    x = 14,245.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.