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Finding the Fourth Proportional to 16,692.71, 23,035.34 and 9,976.79

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Solution

The fourth proportional to 16,692.71, 23,035.34 and 9,976.79 is: 13,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,692.71 : 23,035.34 = 9,976.79 : x
  2. Step 2: Convert to fraction form
    16,692.71/23,035.34 = 9,976.79/x
  3. Step 3: Cross multiply
    16,692.71x = 23,035.34 × 9,976.79
  4. Step 4: Simplify right side
    16,692.71x = 229,818,832.29
  5. Step 5: Solve for x
    x = 229,818,832.29/16,692.71
  6. Step 6: Final answer
    x = 13,767.62

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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.