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Finding the Fourth Proportional to 14,747.01, 22,102.05 and 11,614.64

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Solution

The fourth proportional to 14,747.01, 22,102.05 and 11,614.64 is: 17,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,747.01 : 22,102.05 = 11,614.64 : x
  2. Step 2: Convert to fraction form
    14,747.01/22,102.05 = 11,614.64/x
  3. Step 3: Cross multiply
    14,747.01x = 22,102.05 × 11,614.64
  4. Step 4: Simplify right side
    14,747.01x = 256,707,321.55
  5. Step 5: Solve for x
    x = 256,707,321.55/14,747.01
  6. Step 6: Final answer
    x = 17,407.42

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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.