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Finding the Fourth Proportional to 38,014.46, 57,018.04 and 11,712.14

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Solution

The fourth proportional to 38,014.46, 57,018.04 and 11,712.14 is: 17,567.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,014.46 : 57,018.04 = 11,712.14 : x
  2. Step 2: Convert to fraction form
    38,014.46/57,018.04 = 11,712.14/x
  3. Step 3: Cross multiply
    38,014.46x = 57,018.04 × 11,712.14
  4. Step 4: Simplify right side
    38,014.46x = 667,802,952.64
  5. Step 5: Solve for x
    x = 667,802,952.64/38,014.46
  6. Step 6: Final answer
    x = 17,567.08

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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.