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Finding the Fourth Proportional to 14,594.90, 20,138.24 and 8,221.01

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Solution

The fourth proportional to 14,594.90, 20,138.24 and 8,221.01 is: 11,343.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.90 : 20,138.24 = 8,221.01 : x
  2. Step 2: Convert to fraction form
    14,594.90/20,138.24 = 8,221.01/x
  3. Step 3: Cross multiply
    14,594.90x = 20,138.24 × 8,221.01
  4. Step 4: Simplify right side
    14,594.90x = 165,556,631.32
  5. Step 5: Solve for x
    x = 165,556,631.32/14,594.90
  6. Step 6: Final answer
    x = 11,343.46

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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.