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Finding the Fourth Proportional to 23,082.66, 34,627.34 and 7,282.35

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Solution

The fourth proportional to 23,082.66, 34,627.34 and 7,282.35 is: 10,924.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.66 : 34,627.34 = 7,282.35 : x
  2. Step 2: Convert to fraction form
    23,082.66/34,627.34 = 7,282.35/x
  3. Step 3: Cross multiply
    23,082.66x = 34,627.34 × 7,282.35
  4. Step 4: Simplify right side
    23,082.66x = 252,168,373.04
  5. Step 5: Solve for x
    x = 252,168,373.04/23,082.66
  6. Step 6: Final answer
    x = 10,924.58

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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.