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Finding the Fourth Proportional to 13,568.13, 18,724.08 and 7,906.77

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Solution

The fourth proportional to 13,568.13, 18,724.08 and 7,906.77 is: 10,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,568.13 : 18,724.08 = 7,906.77 : x
  2. Step 2: Convert to fraction form
    13,568.13/18,724.08 = 7,906.77/x
  3. Step 3: Cross multiply
    13,568.13x = 18,724.08 × 7,906.77
  4. Step 4: Simplify right side
    13,568.13x = 148,046,994.02
  5. Step 5: Solve for x
    x = 148,046,994.02/13,568.13
  6. Step 6: Final answer
    x = 10,911.38

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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.