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Finding the Fourth Proportional to 38,009.30, 57,020.07 and 11,714.03

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Solution

The fourth proportional to 38,009.30, 57,020.07 and 11,714.03 is: 17,572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009.30 : 57,020.07 = 11,714.03 : x
  2. Step 2: Convert to fraction form
    38,009.30/57,020.07 = 11,714.03/x
  3. Step 3: Cross multiply
    38,009.30x = 57,020.07 × 11,714.03
  4. Step 4: Simplify right side
    38,009.30x = 667,934,810.58
  5. Step 5: Solve for x
    x = 667,934,810.58/38,009.30
  6. Step 6: Final answer
    x = 17,572.93

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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.