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Finding the Fourth Proportional to 12,473.61, 17,216.54 and 7,171.51

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Solution

The fourth proportional to 12,473.61, 17,216.54 and 7,171.51 is: 9,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.61 : 17,216.54 = 7,171.51 : x
  2. Step 2: Convert to fraction form
    12,473.61/17,216.54 = 7,171.51/x
  3. Step 3: Cross multiply
    12,473.61x = 17,216.54 × 7,171.51
  4. Step 4: Simplify right side
    12,473.61x = 123,468,588.78
  5. Step 5: Solve for x
    x = 123,468,588.78/12,473.61
  6. Step 6: Final answer
    x = 9,898.38

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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.