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Finding the Fourth Proportional to 38,816.48, 58,232.16 and 12,514.16

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Solution

The fourth proportional to 38,816.48, 58,232.16 and 12,514.16 is: 18,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,816.48 : 58,232.16 = 12,514.16 : x
  2. Step 2: Convert to fraction form
    38,816.48/58,232.16 = 12,514.16/x
  3. Step 3: Cross multiply
    38,816.48x = 58,232.16 × 12,514.16
  4. Step 4: Simplify right side
    38,816.48x = 728,726,567.39
  5. Step 5: Solve for x
    x = 728,726,567.39/38,816.48
  6. Step 6: Final answer
    x = 18,773.64

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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.