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Finding the Fourth Proportional to 16,221.68, 24,322.68 and 7,893.30

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Solution

The fourth proportional to 16,221.68, 24,322.68 and 7,893.30 is: 11,835.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.68 : 24,322.68 = 7,893.30 : x
  2. Step 2: Convert to fraction form
    16,221.68/24,322.68 = 7,893.30/x
  3. Step 3: Cross multiply
    16,221.68x = 24,322.68 × 7,893.30
  4. Step 4: Simplify right side
    16,221.68x = 191,986,210.04
  5. Step 5: Solve for x
    x = 191,986,210.04/16,221.68
  6. Step 6: Final answer
    x = 11,835.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.