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Finding the Fourth Proportional to 12,644.22, 17,448.38 and 7,054.14

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Solution

The fourth proportional to 12,644.22, 17,448.38 and 7,054.14 is: 9,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.22 : 17,448.38 = 7,054.14 : x
  2. Step 2: Convert to fraction form
    12,644.22/17,448.38 = 7,054.14/x
  3. Step 3: Cross multiply
    12,644.22x = 17,448.38 × 7,054.14
  4. Step 4: Simplify right side
    12,644.22x = 123,083,315.29
  5. Step 5: Solve for x
    x = 123,083,315.29/12,644.22
  6. Step 6: Final answer
    x = 9,734.35

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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.