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Finding the Fourth Proportional to 12,029.88, 18,078.84 and 7,101.84

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Solution

The fourth proportional to 12,029.88, 18,078.84 and 7,101.84 is: 10,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.88 : 18,078.84 = 7,101.84 : x
  2. Step 2: Convert to fraction form
    12,029.88/18,078.84 = 7,101.84/x
  3. Step 3: Cross multiply
    12,029.88x = 18,078.84 × 7,101.84
  4. Step 4: Simplify right side
    12,029.88x = 128,393,029.07
  5. Step 5: Solve for x
    x = 128,393,029.07/12,029.88
  6. Step 6: Final answer
    x = 10,672.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.