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Finding the Fourth Proportional to 13,122.10, 19,543.97 and 13,058.54

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Solution

The fourth proportional to 13,122.10, 19,543.97 and 13,058.54 is: 19,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.10 : 19,543.97 = 13,058.54 : x
  2. Step 2: Convert to fraction form
    13,122.10/19,543.97 = 13,058.54/x
  3. Step 3: Cross multiply
    13,122.10x = 19,543.97 × 13,058.54
  4. Step 4: Simplify right side
    13,122.10x = 255,215,550.99
  5. Step 5: Solve for x
    x = 255,215,550.99/13,122.10
  6. Step 6: Final answer
    x = 19,449.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.