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Finding the Fourth Proportional to 14,861.92, 20,511.68 and 8,893.76

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Solution

The fourth proportional to 14,861.92, 20,511.68 and 8,893.76 is: 12,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,861.92 : 20,511.68 = 8,893.76 : x
  2. Step 2: Convert to fraction form
    14,861.92/20,511.68 = 8,893.76/x
  3. Step 3: Cross multiply
    14,861.92x = 20,511.68 × 8,893.76
  4. Step 4: Simplify right side
    14,861.92x = 182,425,959.12
  5. Step 5: Solve for x
    x = 182,425,959.12/14,861.92
  6. Step 6: Final answer
    x = 12,274.72

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1.5x scale

Why These Related Problems?

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