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Finding the Fourth Proportional to 16,754.80, 23,116.44 and 9,678.64

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Solution

The fourth proportional to 16,754.80, 23,116.44 and 9,678.64 is: 13,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,754.80 : 23,116.44 = 9,678.64 : x
  2. Step 2: Convert to fraction form
    16,754.80/23,116.44 = 9,678.64/x
  3. Step 3: Cross multiply
    16,754.80x = 23,116.44 × 9,678.64
  4. Step 4: Simplify right side
    16,754.80x = 223,735,700.84
  5. Step 5: Solve for x
    x = 223,735,700.84/16,754.80
  6. Step 6: Final answer
    x = 13,353.53

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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.