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Finding the Fourth Proportional to 38,017.16, 57,028.93 and 14,008

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Solution

The fourth proportional to 38,017.16, 57,028.93 and 14,008 is: 21,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,017.16 : 57,028.93 = 14,008 : x
  2. Step 2: Convert to fraction form
    38,017.16/57,028.93 = 14,008/x
  3. Step 3: Cross multiply
    38,017.16x = 57,028.93 × 14,008
  4. Step 4: Simplify right side
    38,017.16x = 798,861,251.44
  5. Step 5: Solve for x
    x = 798,861,251.44/38,017.16
  6. Step 6: Final answer
    x = 21,013.18

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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.