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Finding the Fourth Proportional to 16,101.66, 22,221.92 and 9,028.08

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Solution

The fourth proportional to 16,101.66, 22,221.92 and 9,028.08 is: 12,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.66 : 22,221.92 = 9,028.08 : x
  2. Step 2: Convert to fraction form
    16,101.66/22,221.92 = 9,028.08/x
  3. Step 3: Cross multiply
    16,101.66x = 22,221.92 × 9,028.08
  4. Step 4: Simplify right side
    16,101.66x = 200,621,271.51
  5. Step 5: Solve for x
    x = 200,621,271.51/16,101.66
  6. Step 6: Final answer
    x = 12,459.66

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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.