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Finding the Fourth Proportional to 17,344.79, 26,021.27 and 5,658

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Solution

The fourth proportional to 17,344.79, 26,021.27 and 5,658 is: 8,488.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,344.79 : 26,021.27 = 5,658 : x
  2. Step 2: Convert to fraction form
    17,344.79/26,021.27 = 5,658/x
  3. Step 3: Cross multiply
    17,344.79x = 26,021.27 × 5,658
  4. Step 4: Simplify right side
    17,344.79x = 147,228,359.81
  5. Step 5: Solve for x
    x = 147,228,359.81/17,344.79
  6. Step 6: Final answer
    x = 8,488.34

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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.