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Finding the Fourth Proportional to 19,568.96, 27,006.72 and 11,186

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Solution

The fourth proportional to 19,568.96, 27,006.72 and 11,186 is: 15,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,568.96 : 27,006.72 = 11,186 : x
  2. Step 2: Convert to fraction form
    19,568.96/27,006.72 = 11,186/x
  3. Step 3: Cross multiply
    19,568.96x = 27,006.72 × 11,186
  4. Step 4: Simplify right side
    19,568.96x = 302,097,169.92
  5. Step 5: Solve for x
    x = 302,097,169.92/19,568.96
  6. Step 6: Final answer
    x = 15,437.57

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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.