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Finding the Fourth Proportional to 12,412.80, 17,129.34 and 7,377.03

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Solution

The fourth proportional to 12,412.80, 17,129.34 and 7,377.03 is: 10,180.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.80 : 17,129.34 = 7,377.03 : x
  2. Step 2: Convert to fraction form
    12,412.80/17,129.34 = 7,377.03/x
  3. Step 3: Cross multiply
    12,412.80x = 17,129.34 × 7,377.03
  4. Step 4: Simplify right side
    12,412.80x = 126,363,655.06
  5. Step 5: Solve for x
    x = 126,363,655.06/12,412.80
  6. Step 6: Final answer
    x = 10,180.11

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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.