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Finding the Fourth Proportional to 15,906.13, 23,863.96 and 9,587.86

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Solution

The fourth proportional to 15,906.13, 23,863.96 and 9,587.86 is: 14,384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.13 : 23,863.96 = 9,587.86 : x
  2. Step 2: Convert to fraction form
    15,906.13/23,863.96 = 9,587.86/x
  3. Step 3: Cross multiply
    15,906.13x = 23,863.96 × 9,587.86
  4. Step 4: Simplify right side
    15,906.13x = 228,804,259.85
  5. Step 5: Solve for x
    x = 228,804,259.85/15,906.13
  6. Step 6: Final answer
    x = 14,384.66

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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.