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Finding the Fourth Proportional to 19,714.68, 27,206.82 and 11,215.80

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Solution

The fourth proportional to 19,714.68, 27,206.82 and 11,215.80 is: 15,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.68 : 27,206.82 = 11,215.80 : x
  2. Step 2: Convert to fraction form
    19,714.68/27,206.82 = 11,215.80/x
  3. Step 3: Cross multiply
    19,714.68x = 27,206.82 × 11,215.80
  4. Step 4: Simplify right side
    19,714.68x = 305,146,251.76
  5. Step 5: Solve for x
    x = 305,146,251.76/19,714.68
  6. Step 6: Final answer
    x = 15,478.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.