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Finding the Fourth Proportional to 14,451.50, 19,943.20 and 8,164.02

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Solution

The fourth proportional to 14,451.50, 19,943.20 and 8,164.02 is: 11,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.50 : 19,943.20 = 8,164.02 : x
  2. Step 2: Convert to fraction form
    14,451.50/19,943.20 = 8,164.02/x
  3. Step 3: Cross multiply
    14,451.50x = 19,943.20 × 8,164.02
  4. Step 4: Simplify right side
    14,451.50x = 162,816,683.66
  5. Step 5: Solve for x
    x = 162,816,683.66/14,451.50
  6. Step 6: Final answer
    x = 11,266.42

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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.