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Finding the Fourth Proportional to 12,577.40, 18,857.85 and 7,031.33

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Solution

The fourth proportional to 12,577.40, 18,857.85 and 7,031.33 is: 10,542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.40 : 18,857.85 = 7,031.33 : x
  2. Step 2: Convert to fraction form
    12,577.40/18,857.85 = 7,031.33/x
  3. Step 3: Cross multiply
    12,577.40x = 18,857.85 × 7,031.33
  4. Step 4: Simplify right side
    12,577.40x = 132,595,716.50
  5. Step 5: Solve for x
    x = 132,595,716.50/12,577.40
  6. Step 6: Final answer
    x = 10,542.38

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Why These Related Problems?

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