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Finding the Fourth Proportional to 38,678.96, 58,019.25 and 12,383.63

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Solution

The fourth proportional to 38,678.96, 58,019.25 and 12,383.63 is: 18,575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,678.96 : 58,019.25 = 12,383.63 : x
  2. Step 2: Convert to fraction form
    38,678.96/58,019.25 = 12,383.63/x
  3. Step 3: Cross multiply
    38,678.96x = 58,019.25 × 12,383.63
  4. Step 4: Simplify right side
    38,678.96x = 718,488,634.78
  5. Step 5: Solve for x
    x = 718,488,634.78/38,678.96
  6. Step 6: Final answer
    x = 18,575.70

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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.