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Finding the Fourth Proportional to 22,717.92, 31,347.26 and 13,026

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Solution

The fourth proportional to 22,717.92, 31,347.26 and 13,026 is: 17,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,717.92 : 31,347.26 = 13,026 : x
  2. Step 2: Convert to fraction form
    22,717.92/31,347.26 = 13,026/x
  3. Step 3: Cross multiply
    22,717.92x = 31,347.26 × 13,026
  4. Step 4: Simplify right side
    22,717.92x = 408,329,408.76
  5. Step 5: Solve for x
    x = 408,329,408.76/22,717.92
  6. Step 6: Final answer
    x = 17,973.89

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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.