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Finding the Fourth Proportional to 22,102.68, 33,150.66 and 7,312.20

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Solution

The fourth proportional to 22,102.68, 33,150.66 and 7,312.20 is: 10,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.68 : 33,150.66 = 7,312.20 : x
  2. Step 2: Convert to fraction form
    22,102.68/33,150.66 = 7,312.20/x
  3. Step 3: Cross multiply
    22,102.68x = 33,150.66 × 7,312.20
  4. Step 4: Simplify right side
    22,102.68x = 242,404,256.05
  5. Step 5: Solve for x
    x = 242,404,256.05/22,102.68
  6. Step 6: Final answer
    x = 10,967.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.