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Finding the Fourth Proportional to 23,710.94, 35,566.41 and 7,082.65

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Solution

The fourth proportional to 23,710.94, 35,566.41 and 7,082.65 is: 10,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,710.94 : 35,566.41 = 7,082.65 : x
  2. Step 2: Convert to fraction form
    23,710.94/35,566.41 = 7,082.65/x
  3. Step 3: Cross multiply
    23,710.94x = 35,566.41 × 7,082.65
  4. Step 4: Simplify right side
    23,710.94x = 251,904,433.79
  5. Step 5: Solve for x
    x = 251,904,433.79/23,710.94
  6. Step 6: Final answer
    x = 10,623.98

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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.