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Finding the Fourth Proportional to 12,277.48, 18,400.86 and 6,431.08

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Solution

The fourth proportional to 12,277.48, 18,400.86 and 6,431.08 is: 9,638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.48 : 18,400.86 = 6,431.08 : x
  2. Step 2: Convert to fraction form
    12,277.48/18,400.86 = 6,431.08/x
  3. Step 3: Cross multiply
    12,277.48x = 18,400.86 × 6,431.08
  4. Step 4: Simplify right side
    12,277.48x = 118,337,402.73
  5. Step 5: Solve for x
    x = 118,337,402.73/12,277.48
  6. Step 6: Final answer
    x = 9,638.57

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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.