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Finding the Fourth Proportional to 12,675.24, 17,490.29 and 7,009.22

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Solution

The fourth proportional to 12,675.24, 17,490.29 and 7,009.22 is: 9,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.24 : 17,490.29 = 7,009.22 : x
  2. Step 2: Convert to fraction form
    12,675.24/17,490.29 = 7,009.22/x
  3. Step 3: Cross multiply
    12,675.24x = 17,490.29 × 7,009.22
  4. Step 4: Simplify right side
    12,675.24x = 122,593,290.47
  5. Step 5: Solve for x
    x = 122,593,290.47/12,675.24
  6. Step 6: Final answer
    x = 9,671.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.