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Finding the Fourth Proportional to 23,774.46, 32,823.27 and 15,823.50

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Solution

The fourth proportional to 23,774.46, 32,823.27 and 15,823.50 is: 21,846.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.46 : 32,823.27 = 15,823.50 : x
  2. Step 2: Convert to fraction form
    23,774.46/32,823.27 = 15,823.50/x
  3. Step 3: Cross multiply
    23,774.46x = 32,823.27 × 15,823.50
  4. Step 4: Simplify right side
    23,774.46x = 519,379,012.85
  5. Step 5: Solve for x
    x = 519,379,012.85/23,774.46
  6. Step 6: Final answer
    x = 21,846.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.