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Finding the Fourth Proportional to 19,591.42, 27,033 and 12,035.32

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Solution

The fourth proportional to 19,591.42, 27,033 and 12,035.32 is: 16,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,591.42 : 27,033 = 12,035.32 : x
  2. Step 2: Convert to fraction form
    19,591.42/27,033 = 12,035.32/x
  3. Step 3: Cross multiply
    19,591.42x = 27,033 × 12,035.32
  4. Step 4: Simplify right side
    19,591.42x = 325,350,805.56
  5. Step 5: Solve for x
    x = 325,350,805.56/19,591.42
  6. Step 6: Final answer
    x = 16,606.80

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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.