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Finding the Fourth Proportional to 13,935.93, 20,907.54 and 8,086.92

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Solution

The fourth proportional to 13,935.93, 20,907.54 and 8,086.92 is: 12,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935.93 : 20,907.54 = 8,086.92 : x
  2. Step 2: Convert to fraction form
    13,935.93/20,907.54 = 8,086.92/x
  3. Step 3: Cross multiply
    13,935.93x = 20,907.54 × 8,086.92
  4. Step 4: Simplify right side
    13,935.93x = 169,077,603.38
  5. Step 5: Solve for x
    x = 169,077,603.38/13,935.93
  6. Step 6: Final answer
    x = 12,132.50

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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.