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Finding the Fourth Proportional to 16,460.80, 22,709.76 and 9,383.44

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Solution

The fourth proportional to 16,460.80, 22,709.76 and 9,383.44 is: 12,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,460.80 : 22,709.76 = 9,383.44 : x
  2. Step 2: Convert to fraction form
    16,460.80/22,709.76 = 9,383.44/x
  3. Step 3: Cross multiply
    16,460.80x = 22,709.76 × 9,383.44
  4. Step 4: Simplify right side
    16,460.80x = 213,095,670.37
  5. Step 5: Solve for x
    x = 213,095,670.37/16,460.80
  6. Step 6: Final answer
    x = 12,945.64

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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.