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Finding the Fourth Proportional to 16,651.92, 22,968.18 and 11,871.30

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Solution

The fourth proportional to 16,651.92, 22,968.18 and 11,871.30 is: 16,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,651.92 : 22,968.18 = 11,871.30 : x
  2. Step 2: Convert to fraction form
    16,651.92/22,968.18 = 11,871.30/x
  3. Step 3: Cross multiply
    16,651.92x = 22,968.18 × 11,871.30
  4. Step 4: Simplify right side
    16,651.92x = 272,662,155.23
  5. Step 5: Solve for x
    x = 272,662,155.23/16,651.92
  6. Step 6: Final answer
    x = 16,374.22

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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.