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Finding the Fourth Proportional to 15,130.36, 20,876.50 and 9,161.91

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Solution

The fourth proportional to 15,130.36, 20,876.50 and 9,161.91 is: 12,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,130.36 : 20,876.50 = 9,161.91 : x
  2. Step 2: Convert to fraction form
    15,130.36/20,876.50 = 9,161.91/x
  3. Step 3: Cross multiply
    15,130.36x = 20,876.50 × 9,161.91
  4. Step 4: Simplify right side
    15,130.36x = 191,268,625.57
  5. Step 5: Solve for x
    x = 191,268,625.57/15,130.36
  6. Step 6: Final answer
    x = 12,641.38

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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.