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Finding the Fourth Proportional to 12,142.51, 16,757.38 and 7,427.70

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Solution

The fourth proportional to 12,142.51, 16,757.38 and 7,427.70 is: 10,250.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.51 : 16,757.38 = 7,427.70 : x
  2. Step 2: Convert to fraction form
    12,142.51/16,757.38 = 7,427.70/x
  3. Step 3: Cross multiply
    12,142.51x = 16,757.38 × 7,427.70
  4. Step 4: Simplify right side
    12,142.51x = 124,468,800.71
  5. Step 5: Solve for x
    x = 124,468,800.71/12,142.51
  6. Step 6: Final answer
    x = 10,250.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.