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Finding the Fourth Proportional to 16,500.68, 22,771.16 and 9,427.11

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Solution

The fourth proportional to 16,500.68, 22,771.16 and 9,427.11 is: 13,009.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.68 : 22,771.16 = 9,427.11 : x
  2. Step 2: Convert to fraction form
    16,500.68/22,771.16 = 9,427.11/x
  3. Step 3: Cross multiply
    16,500.68x = 22,771.16 × 9,427.11
  4. Step 4: Simplify right side
    16,500.68x = 214,666,230.15
  5. Step 5: Solve for x
    x = 214,666,230.15/16,500.68
  6. Step 6: Final answer
    x = 13,009.54

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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.