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Finding the Fourth Proportional to 19,714.28, 27,204.56 and 10,760

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Solution

The fourth proportional to 19,714.28, 27,204.56 and 10,760 is: 14,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.28 : 27,204.56 = 10,760 : x
  2. Step 2: Convert to fraction form
    19,714.28/27,204.56 = 10,760/x
  3. Step 3: Cross multiply
    19,714.28x = 27,204.56 × 10,760
  4. Step 4: Simplify right side
    19,714.28x = 292,721,065.60
  5. Step 5: Solve for x
    x = 292,721,065.60/19,714.28
  6. Step 6: Final answer
    x = 14,848.17

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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.