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Finding the Fourth Proportional to 24,786, 37,171.71 and 7,251.66

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Solution

The fourth proportional to 24,786, 37,171.71 and 7,251.66 is: 10,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786 : 37,171.71 = 7,251.66 : x
  2. Step 2: Convert to fraction form
    24,786/37,171.71 = 7,251.66/x
  3. Step 3: Cross multiply
    24,786x = 37,171.71 × 7,251.66
  4. Step 4: Simplify right side
    24,786x = 269,556,602.54
  5. Step 5: Solve for x
    x = 269,556,602.54/24,786
  6. Step 6: Final answer
    x = 10,875.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.