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Finding the Fourth Proportional to 17,749.78, 26,614.68 and 5,897.21

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Solution

The fourth proportional to 17,749.78, 26,614.68 and 5,897.21 is: 8,842.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,749.78 : 26,614.68 = 5,897.21 : x
  2. Step 2: Convert to fraction form
    17,749.78/26,614.68 = 5,897.21/x
  3. Step 3: Cross multiply
    17,749.78x = 26,614.68 × 5,897.21
  4. Step 4: Simplify right side
    17,749.78x = 156,952,357.04
  5. Step 5: Solve for x
    x = 156,952,357.04/17,749.78
  6. Step 6: Final answer
    x = 8,842.50

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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.