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Finding the Fourth Proportional to 12,486.15, 18,741.76 and 5,827.21

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Solution

The fourth proportional to 12,486.15, 18,741.76 and 5,827.21 is: 8,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.15 : 18,741.76 = 5,827.21 : x
  2. Step 2: Convert to fraction form
    12,486.15/18,741.76 = 5,827.21/x
  3. Step 3: Cross multiply
    12,486.15x = 18,741.76 × 5,827.21
  4. Step 4: Simplify right side
    12,486.15x = 109,212,109.87
  5. Step 5: Solve for x
    x = 109,212,109.87/12,486.15
  6. Step 6: Final answer
    x = 8,746.66

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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.