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Finding the Fourth Proportional to 13,454.86, 18,568.15 and 8,417.47

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Solution

The fourth proportional to 13,454.86, 18,568.15 and 8,417.47 is: 11,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.86 : 18,568.15 = 8,417.47 : x
  2. Step 2: Convert to fraction form
    13,454.86/18,568.15 = 8,417.47/x
  3. Step 3: Cross multiply
    13,454.86x = 18,568.15 × 8,417.47
  4. Step 4: Simplify right side
    13,454.86x = 156,296,845.58
  5. Step 5: Solve for x
    x = 156,296,845.58/13,454.86
  6. Step 6: Final answer
    x = 11,616.39

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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.