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Finding the Fourth Proportional to 16,427.82, 22,670.40 and 8,975.82

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Solution

The fourth proportional to 16,427.82, 22,670.40 and 8,975.82 is: 12,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.82 : 22,670.40 = 8,975.82 : x
  2. Step 2: Convert to fraction form
    16,427.82/22,670.40 = 8,975.82/x
  3. Step 3: Cross multiply
    16,427.82x = 22,670.40 × 8,975.82
  4. Step 4: Simplify right side
    16,427.82x = 203,485,429.73
  5. Step 5: Solve for x
    x = 203,485,429.73/16,427.82
  6. Step 6: Final answer
    x = 12,386.64

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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.