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Finding the Fourth Proportional to 16,009.52, 22,093.02 and 9,299.07

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Solution

The fourth proportional to 16,009.52, 22,093.02 and 9,299.07 is: 12,832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.52 : 22,093.02 = 9,299.07 : x
  2. Step 2: Convert to fraction form
    16,009.52/22,093.02 = 9,299.07/x
  3. Step 3: Cross multiply
    16,009.52x = 22,093.02 × 9,299.07
  4. Step 4: Simplify right side
    16,009.52x = 205,444,539.49
  5. Step 5: Solve for x
    x = 205,444,539.49/16,009.52
  6. Step 6: Final answer
    x = 12,832.65

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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.