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Finding the Fourth Proportional to 12,985.77, 17,920.38 and 8,272.80

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Solution

The fourth proportional to 12,985.77, 17,920.38 and 8,272.80 is: 11,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.77 : 17,920.38 = 8,272.80 : x
  2. Step 2: Convert to fraction form
    12,985.77/17,920.38 = 8,272.80/x
  3. Step 3: Cross multiply
    12,985.77x = 17,920.38 × 8,272.80
  4. Step 4: Simplify right side
    12,985.77x = 148,251,719.66
  5. Step 5: Solve for x
    x = 148,251,719.66/12,985.77
  6. Step 6: Final answer
    x = 11,416.48

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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.