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Finding the Fourth Proportional to 12,407.29, 17,121.78 and 7,029.30

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Solution

The fourth proportional to 12,407.29, 17,121.78 and 7,029.30 is: 9,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.29 : 17,121.78 = 7,029.30 : x
  2. Step 2: Convert to fraction form
    12,407.29/17,121.78 = 7,029.30/x
  3. Step 3: Cross multiply
    12,407.29x = 17,121.78 × 7,029.30
  4. Step 4: Simplify right side
    12,407.29x = 120,354,128.15
  5. Step 5: Solve for x
    x = 120,354,128.15/12,407.29
  6. Step 6: Final answer
    x = 9,700.28

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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.