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Finding the Fourth Proportional to 19,597, 27,045.06 and 11,099.92

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Solution

The fourth proportional to 19,597, 27,045.06 and 11,099.92 is: 15,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,597 : 27,045.06 = 11,099.92 : x
  2. Step 2: Convert to fraction form
    19,597/27,045.06 = 11,099.92/x
  3. Step 3: Cross multiply
    19,597x = 27,045.06 × 11,099.92
  4. Step 4: Simplify right side
    19,597x = 300,198,002.40
  5. Step 5: Solve for x
    x = 300,198,002.40/19,597
  6. Step 6: Final answer
    x = 15,318.57

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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.