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Finding the Fourth Proportional to 17,754.49, 24,500.38 and 10,195.51

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Solution

The fourth proportional to 17,754.49, 24,500.38 and 10,195.51 is: 14,069.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,754.49 : 24,500.38 = 10,195.51 : x
  2. Step 2: Convert to fraction form
    17,754.49/24,500.38 = 10,195.51/x
  3. Step 3: Cross multiply
    17,754.49x = 24,500.38 × 10,195.51
  4. Step 4: Simplify right side
    17,754.49x = 249,793,746.79
  5. Step 5: Solve for x
    x = 249,793,746.79/17,754.49
  6. Step 6: Final answer
    x = 14,069.33

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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.