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Finding the Fourth Proportional to 13,086.90, 18,061.71 and 8,896.50

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Solution

The fourth proportional to 13,086.90, 18,061.71 and 8,896.50 is: 12,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.90 : 18,061.71 = 8,896.50 : x
  2. Step 2: Convert to fraction form
    13,086.90/18,061.71 = 8,896.50/x
  3. Step 3: Cross multiply
    13,086.90x = 18,061.71 × 8,896.50
  4. Step 4: Simplify right side
    13,086.90x = 160,686,003.02
  5. Step 5: Solve for x
    x = 160,686,003.02/13,086.90
  6. Step 6: Final answer
    x = 12,278.39

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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.