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Finding the Fourth Proportional to 27,196.70, 40,746.69 and 11,366.87

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Solution

The fourth proportional to 27,196.70, 40,746.69 and 11,366.87 is: 17,030.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,196.70 : 40,746.69 = 11,366.87 : x
  2. Step 2: Convert to fraction form
    27,196.70/40,746.69 = 11,366.87/x
  3. Step 3: Cross multiply
    27,196.70x = 40,746.69 × 11,366.87
  4. Step 4: Simplify right side
    27,196.70x = 463,162,124.43
  5. Step 5: Solve for x
    x = 463,162,124.43/27,196.70
  6. Step 6: Final answer
    x = 17,030.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.