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Finding the Fourth Proportional to 16,073.16, 22,181.64 and 8,999.64

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Solution

The fourth proportional to 16,073.16, 22,181.64 and 8,999.64 is: 12,419.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,073.16 : 22,181.64 = 8,999.64 : x
  2. Step 2: Convert to fraction form
    16,073.16/22,181.64 = 8,999.64/x
  3. Step 3: Cross multiply
    16,073.16x = 22,181.64 × 8,999.64
  4. Step 4: Simplify right side
    16,073.16x = 199,626,774.61
  5. Step 5: Solve for x
    x = 199,626,774.61/16,073.16
  6. Step 6: Final answer
    x = 12,419.88

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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.