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Finding the Fourth Proportional to 16,540.74, 22,824.36 and 9,468.54

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Solution

The fourth proportional to 16,540.74, 22,824.36 and 9,468.54 is: 13,065.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.74 : 22,824.36 = 9,468.54 : x
  2. Step 2: Convert to fraction form
    16,540.74/22,824.36 = 9,468.54/x
  3. Step 3: Cross multiply
    16,540.74x = 22,824.36 × 9,468.54
  4. Step 4: Simplify right side
    16,540.74x = 216,113,365.63
  5. Step 5: Solve for x
    x = 216,113,365.63/16,540.74
  6. Step 6: Final answer
    x = 13,065.52

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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.