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Finding the Fourth Proportional to 38,730.96, 58,104 and 12,433.68

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Solution

The fourth proportional to 38,730.96, 58,104 and 12,433.68 is: 18,652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,730.96 : 58,104 = 12,433.68 : x
  2. Step 2: Convert to fraction form
    38,730.96/58,104 = 12,433.68/x
  3. Step 3: Cross multiply
    38,730.96x = 58,104 × 12,433.68
  4. Step 4: Simplify right side
    38,730.96x = 722,446,542.72
  5. Step 5: Solve for x
    x = 722,446,542.72/38,730.96
  6. Step 6: Final answer
    x = 18,652.95

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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.