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Finding the Fourth Proportional to 22,055.70, 33,096.57 and 8,730

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Solution

The fourth proportional to 22,055.70, 33,096.57 and 8,730 is: 13,100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,055.70 : 33,096.57 = 8,730 : x
  2. Step 2: Convert to fraction form
    22,055.70/33,096.57 = 8,730/x
  3. Step 3: Cross multiply
    22,055.70x = 33,096.57 × 8,730
  4. Step 4: Simplify right side
    22,055.70x = 288,933,056.10
  5. Step 5: Solve for x
    x = 288,933,056.10/22,055.70
  6. Step 6: Final answer
    x = 13,100.15

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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.