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Finding the Fourth Proportional to 12,566.76, 18,844.34 and 11,581.80

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Solution

The fourth proportional to 12,566.76, 18,844.34 and 11,581.80 is: 17,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.76 : 18,844.34 = 11,581.80 : x
  2. Step 2: Convert to fraction form
    12,566.76/18,844.34 = 11,581.80/x
  3. Step 3: Cross multiply
    12,566.76x = 18,844.34 × 11,581.80
  4. Step 4: Simplify right side
    12,566.76x = 218,251,319.10
  5. Step 5: Solve for x
    x = 218,251,319.10/12,566.76
  6. Step 6: Final answer
    x = 17,367.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.