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Finding the Fourth Proportional to 17,338.47, 23,921.15 and 9,783.87

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Solution

The fourth proportional to 17,338.47, 23,921.15 and 9,783.87 is: 13,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,338.47 : 23,921.15 = 9,783.87 : x
  2. Step 2: Convert to fraction form
    17,338.47/23,921.15 = 9,783.87/x
  3. Step 3: Cross multiply
    17,338.47x = 23,921.15 × 9,783.87
  4. Step 4: Simplify right side
    17,338.47x = 234,041,372.93
  5. Step 5: Solve for x
    x = 234,041,372.93/17,338.47
  6. Step 6: Final answer
    x = 13,498.39

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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.