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Finding the Fourth Proportional to 12,424.31, 17,145.68 and 7,119.01

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Solution

The fourth proportional to 12,424.31, 17,145.68 and 7,119.01 is: 9,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.31 : 17,145.68 = 7,119.01 : x
  2. Step 2: Convert to fraction form
    12,424.31/17,145.68 = 7,119.01/x
  3. Step 3: Cross multiply
    12,424.31x = 17,145.68 × 7,119.01
  4. Step 4: Simplify right side
    12,424.31x = 122,060,267.38
  5. Step 5: Solve for x
    x = 122,060,267.38/12,424.31
  6. Step 6: Final answer
    x = 9,824.31

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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.