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Finding the Fourth Proportional to 20,594.26, 30,873.12 and 10,058.50

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Solution

The fourth proportional to 20,594.26, 30,873.12 and 10,058.50 is: 15,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594.26 : 30,873.12 = 10,058.50 : x
  2. Step 2: Convert to fraction form
    20,594.26/30,873.12 = 10,058.50/x
  3. Step 3: Cross multiply
    20,594.26x = 30,873.12 × 10,058.50
  4. Step 4: Simplify right side
    20,594.26x = 310,537,277.52
  5. Step 5: Solve for x
    x = 310,537,277.52/20,594.26
  6. Step 6: Final answer
    x = 15,078.83

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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.