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Finding the Fourth Proportional to 13,467.68, 18,582.68 and 8,159.42

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Solution

The fourth proportional to 13,467.68, 18,582.68 and 8,159.42 is: 11,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,467.68 : 18,582.68 = 8,159.42 : x
  2. Step 2: Convert to fraction form
    13,467.68/18,582.68 = 8,159.42/x
  3. Step 3: Cross multiply
    13,467.68x = 18,582.68 × 8,159.42
  4. Step 4: Simplify right side
    13,467.68x = 151,623,757.14
  5. Step 5: Solve for x
    x = 151,623,757.14/13,467.68
  6. Step 6: Final answer
    x = 11,258.35

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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.