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Finding the Fourth Proportional to 14,711.96, 20,283 and 12,184.76

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Solution

The fourth proportional to 14,711.96, 20,283 and 12,184.76 is: 16,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.96 : 20,283 = 12,184.76 : x
  2. Step 2: Convert to fraction form
    14,711.96/20,283 = 12,184.76/x
  3. Step 3: Cross multiply
    14,711.96x = 20,283 × 12,184.76
  4. Step 4: Simplify right side
    14,711.96x = 247,143,487.08
  5. Step 5: Solve for x
    x = 247,143,487.08/14,711.96
  6. Step 6: Final answer
    x = 16,798.81

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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.