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Finding the Fourth Proportional to 18,490.25, 27,714.56 and 9,110.40

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Solution

The fourth proportional to 18,490.25, 27,714.56 and 9,110.40 is: 13,655.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,490.25 : 27,714.56 = 9,110.40 : x
  2. Step 2: Convert to fraction form
    18,490.25/27,714.56 = 9,110.40/x
  3. Step 3: Cross multiply
    18,490.25x = 27,714.56 × 9,110.40
  4. Step 4: Simplify right side
    18,490.25x = 252,490,655.89
  5. Step 5: Solve for x
    x = 252,490,655.89/18,490.25
  6. Step 6: Final answer
    x = 13,655.34

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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.