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Finding the Fourth Proportional to 17,402.60, 24,004.64 and 10,324

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Solution

The fourth proportional to 17,402.60, 24,004.64 and 10,324 is: 14,240.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,402.60 : 24,004.64 = 10,324 : x
  2. Step 2: Convert to fraction form
    17,402.60/24,004.64 = 10,324/x
  3. Step 3: Cross multiply
    17,402.60x = 24,004.64 × 10,324
  4. Step 4: Simplify right side
    17,402.60x = 247,823,903.36
  5. Step 5: Solve for x
    x = 247,823,903.36/17,402.60
  6. Step 6: Final answer
    x = 14,240.63

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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.