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Finding the Fourth Proportional to 13,056.97, 19,560.78 and 10,120.90

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Solution

The fourth proportional to 13,056.97, 19,560.78 and 10,120.90 is: 15,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,056.97 : 19,560.78 = 10,120.90 : x
  2. Step 2: Convert to fraction form
    13,056.97/19,560.78 = 10,120.90/x
  3. Step 3: Cross multiply
    13,056.97x = 19,560.78 × 10,120.90
  4. Step 4: Simplify right side
    13,056.97x = 197,972,600.50
  5. Step 5: Solve for x
    x = 197,972,600.50/13,056.97
  6. Step 6: Final answer
    x = 15,162.22

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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.