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Finding the Fourth Proportional to 19,201.54, 26,498.61 and 10,588

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Solution

The fourth proportional to 19,201.54, 26,498.61 and 10,588 is: 14,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,201.54 : 26,498.61 = 10,588 : x
  2. Step 2: Convert to fraction form
    19,201.54/26,498.61 = 10,588/x
  3. Step 3: Cross multiply
    19,201.54x = 26,498.61 × 10,588
  4. Step 4: Simplify right side
    19,201.54x = 280,567,282.68
  5. Step 5: Solve for x
    x = 280,567,282.68/19,201.54
  6. Step 6: Final answer
    x = 14,611.71

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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.