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Finding the Fourth Proportional to 16,199.94, 24,312.87 and 8,410.98

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Solution

The fourth proportional to 16,199.94, 24,312.87 and 8,410.98 is: 12,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.94 : 24,312.87 = 8,410.98 : x
  2. Step 2: Convert to fraction form
    16,199.94/24,312.87 = 8,410.98/x
  3. Step 3: Cross multiply
    16,199.94x = 24,312.87 × 8,410.98
  4. Step 4: Simplify right side
    16,199.94x = 204,495,063.31
  5. Step 5: Solve for x
    x = 204,495,063.31/16,199.94
  6. Step 6: Final answer
    x = 12,623.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.