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Finding the Fourth Proportional to 15,829.45, 23,737.24 and 7,511.84

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Solution

The fourth proportional to 15,829.45, 23,737.24 and 7,511.84 is: 11,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,829.45 : 23,737.24 = 7,511.84 : x
  2. Step 2: Convert to fraction form
    15,829.45/23,737.24 = 7,511.84/x
  3. Step 3: Cross multiply
    15,829.45x = 23,737.24 × 7,511.84
  4. Step 4: Simplify right side
    15,829.45x = 178,310,348.92
  5. Step 5: Solve for x
    x = 178,310,348.92/15,829.45
  6. Step 6: Final answer
    x = 11,264.47

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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.