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Finding the Fourth Proportional to 12,031.31, 18,041.25 and 7,035.10

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Solution

The fourth proportional to 12,031.31, 18,041.25 and 7,035.10 is: 10,549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.31 : 18,041.25 = 7,035.10 : x
  2. Step 2: Convert to fraction form
    12,031.31/18,041.25 = 7,035.10/x
  3. Step 3: Cross multiply
    12,031.31x = 18,041.25 × 7,035.10
  4. Step 4: Simplify right side
    12,031.31x = 126,921,997.88
  5. Step 5: Solve for x
    x = 126,921,997.88/12,031.31
  6. Step 6: Final answer
    x = 10,549.31

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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.