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Finding the Fourth Proportional to 16,124.76, 24,194.10 and 8,734.50

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Solution

The fourth proportional to 16,124.76, 24,194.10 and 8,734.50 is: 13,105.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,124.76 : 24,194.10 = 8,734.50 : x
  2. Step 2: Convert to fraction form
    16,124.76/24,194.10 = 8,734.50/x
  3. Step 3: Cross multiply
    16,124.76x = 24,194.10 × 8,734.50
  4. Step 4: Simplify right side
    16,124.76x = 211,323,366.45
  5. Step 5: Solve for x
    x = 211,323,366.45/16,124.76
  6. Step 6: Final answer
    x = 13,105.52

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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.