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Finding the Fourth Proportional to 13,940.38, 19,237.62 and 7,566.82

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Solution

The fourth proportional to 13,940.38, 19,237.62 and 7,566.82 is: 10,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940.38 : 19,237.62 = 7,566.82 : x
  2. Step 2: Convert to fraction form
    13,940.38/19,237.62 = 7,566.82/x
  3. Step 3: Cross multiply
    13,940.38x = 19,237.62 × 7,566.82
  4. Step 4: Simplify right side
    13,940.38x = 145,567,607.77
  5. Step 5: Solve for x
    x = 145,567,607.77/13,940.38
  6. Step 6: Final answer
    x = 10,442.15

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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.