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Finding the Fourth Proportional to 23,774.65, 35,674.24 and 10,456.97

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Solution

The fourth proportional to 23,774.65, 35,674.24 and 10,456.97 is: 15,690.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.65 : 35,674.24 = 10,456.97 : x
  2. Step 2: Convert to fraction form
    23,774.65/35,674.24 = 10,456.97/x
  3. Step 3: Cross multiply
    23,774.65x = 35,674.24 × 10,456.97
  4. Step 4: Simplify right side
    23,774.65x = 373,044,272.55
  5. Step 5: Solve for x
    x = 373,044,272.55/23,774.65
  6. Step 6: Final answer
    x = 15,690.84

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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.