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Finding the Fourth Proportional to 38,014.64, 57,005.65 and 13,057.18

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Solution

The fourth proportional to 38,014.64, 57,005.65 and 13,057.18 is: 19,580.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,014.64 : 57,005.65 = 13,057.18 : x
  2. Step 2: Convert to fraction form
    38,014.64/57,005.65 = 13,057.18/x
  3. Step 3: Cross multiply
    38,014.64x = 57,005.65 × 13,057.18
  4. Step 4: Simplify right side
    38,014.64x = 744,332,906.87
  5. Step 5: Solve for x
    x = 744,332,906.87/38,014.64
  6. Step 6: Final answer
    x = 19,580.17

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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.