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Finding the Fourth Proportional to 16,102.08, 22,219.08 and 9,027.06

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Solution

The fourth proportional to 16,102.08, 22,219.08 and 9,027.06 is: 12,456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.08 : 22,219.08 = 9,027.06 : x
  2. Step 2: Convert to fraction form
    16,102.08/22,219.08 = 9,027.06/x
  3. Step 3: Cross multiply
    16,102.08x = 22,219.08 × 9,027.06
  4. Step 4: Simplify right side
    16,102.08x = 200,572,968.30
  5. Step 5: Solve for x
    x = 200,572,968.30/16,102.08
  6. Step 6: Final answer
    x = 12,456.34

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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.