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Finding the Fourth Proportional to 12,031.39, 18,042.98 and 6,106

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Solution

The fourth proportional to 12,031.39, 18,042.98 and 6,106 is: 9,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.39 : 18,042.98 = 6,106 : x
  2. Step 2: Convert to fraction form
    12,031.39/18,042.98 = 6,106/x
  3. Step 3: Cross multiply
    12,031.39x = 18,042.98 × 6,106
  4. Step 4: Simplify right side
    12,031.39x = 110,170,435.88
  5. Step 5: Solve for x
    x = 110,170,435.88/12,031.39
  6. Step 6: Final answer
    x = 9,156.92

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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.