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Finding the Fourth Proportional to 16,705, 23,053.14 and 9,253.48

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Solution

The fourth proportional to 16,705, 23,053.14 and 9,253.48 is: 12,769.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705 : 23,053.14 = 9,253.48 : x
  2. Step 2: Convert to fraction form
    16,705/23,053.14 = 9,253.48/x
  3. Step 3: Cross multiply
    16,705x = 23,053.14 × 9,253.48
  4. Step 4: Simplify right side
    16,705x = 213,321,769.93
  5. Step 5: Solve for x
    x = 213,321,769.93/16,705
  6. Step 6: Final answer
    x = 12,769.94

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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.