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Finding the Fourth Proportional to 22,096.16, 33,128.04 and 10,403

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Solution

The fourth proportional to 22,096.16, 33,128.04 and 10,403 is: 15,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096.16 : 33,128.04 = 10,403 : x
  2. Step 2: Convert to fraction form
    22,096.16/33,128.04 = 10,403/x
  3. Step 3: Cross multiply
    22,096.16x = 33,128.04 × 10,403
  4. Step 4: Simplify right side
    22,096.16x = 344,631,000.12
  5. Step 5: Solve for x
    x = 344,631,000.12/22,096.16
  6. Step 6: Final answer
    x = 15,596.87

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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.