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Finding the Fourth Proportional to 38,718.96, 58,086 and 12,421.68

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Solution

The fourth proportional to 38,718.96, 58,086 and 12,421.68 is: 18,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,718.96 : 58,086 = 12,421.68 : x
  2. Step 2: Convert to fraction form
    38,718.96/58,086 = 12,421.68/x
  3. Step 3: Cross multiply
    38,718.96x = 58,086 × 12,421.68
  4. Step 4: Simplify right side
    38,718.96x = 721,525,704.48
  5. Step 5: Solve for x
    x = 721,525,704.48/38,718.96
  6. Step 6: Final answer
    x = 18,634.95

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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.