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Finding the Fourth Proportional to 22,652.46, 33,987.80 and 10,164.08

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Solution

The fourth proportional to 22,652.46, 33,987.80 and 10,164.08 is: 15,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.46 : 33,987.80 = 10,164.08 : x
  2. Step 2: Convert to fraction form
    22,652.46/33,987.80 = 10,164.08/x
  3. Step 3: Cross multiply
    22,652.46x = 33,987.80 × 10,164.08
  4. Step 4: Simplify right side
    22,652.46x = 345,454,828.60
  5. Step 5: Solve for x
    x = 345,454,828.60/22,652.46
  6. Step 6: Final answer
    x = 15,250.21

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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.