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Finding the Fourth Proportional to 13,293.88, 19,930.91 and 5,796

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Solution

The fourth proportional to 13,293.88, 19,930.91 and 5,796 is: 8,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,293.88 : 19,930.91 = 5,796 : x
  2. Step 2: Convert to fraction form
    13,293.88/19,930.91 = 5,796/x
  3. Step 3: Cross multiply
    13,293.88x = 19,930.91 × 5,796
  4. Step 4: Simplify right side
    13,293.88x = 115,519,525.38
  5. Step 5: Solve for x
    x = 115,519,525.38/13,293.88
  6. Step 6: Final answer
    x = 8,689.68

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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.