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Finding the Fourth Proportional to 12,961.56, 19,442.40 and 7,114.98

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Solution

The fourth proportional to 12,961.56, 19,442.40 and 7,114.98 is: 10,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.56 : 19,442.40 = 7,114.98 : x
  2. Step 2: Convert to fraction form
    12,961.56/19,442.40 = 7,114.98/x
  3. Step 3: Cross multiply
    12,961.56x = 19,442.40 × 7,114.98
  4. Step 4: Simplify right side
    12,961.56x = 138,332,287.15
  5. Step 5: Solve for x
    x = 138,332,287.15/12,961.56
  6. Step 6: Final answer
    x = 10,672.50

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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.