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Finding the Fourth Proportional to 22,082.16, 33,125.44 and 9,598.70

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Solution

The fourth proportional to 22,082.16, 33,125.44 and 9,598.70 is: 14,399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,082.16 : 33,125.44 = 9,598.70 : x
  2. Step 2: Convert to fraction form
    22,082.16/33,125.44 = 9,598.70/x
  3. Step 3: Cross multiply
    22,082.16x = 33,125.44 × 9,598.70
  4. Step 4: Simplify right side
    22,082.16x = 317,961,160.93
  5. Step 5: Solve for x
    x = 317,961,160.93/22,082.16
  6. Step 6: Final answer
    x = 14,399.01

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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.