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Finding the Fourth Proportional to 22,052, 33,033.54 and 10,189.04

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Solution

The fourth proportional to 22,052, 33,033.54 and 10,189.04 is: 15,263.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,052 : 33,033.54 = 10,189.04 : x
  2. Step 2: Convert to fraction form
    22,052/33,033.54 = 10,189.04/x
  3. Step 3: Cross multiply
    22,052x = 33,033.54 × 10,189.04
  4. Step 4: Simplify right side
    22,052x = 336,580,060.40
  5. Step 5: Solve for x
    x = 336,580,060.40/22,052
  6. Step 6: Final answer
    x = 15,263.02

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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.