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Finding the Fourth Proportional to 14,480.50, 19,983.11 and 8,192.74

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Solution

The fourth proportional to 14,480.50, 19,983.11 and 8,192.74 is: 11,305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480.50 : 19,983.11 = 8,192.74 : x
  2. Step 2: Convert to fraction form
    14,480.50/19,983.11 = 8,192.74/x
  3. Step 3: Cross multiply
    14,480.50x = 19,983.11 × 8,192.74
  4. Step 4: Simplify right side
    14,480.50x = 163,716,424.62
  5. Step 5: Solve for x
    x = 163,716,424.62/14,480.50
  6. Step 6: Final answer
    x = 11,305.99

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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.