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Finding the Fourth Proportional to 12,323.14, 18,494.60 and 6,401.77

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Solution

The fourth proportional to 12,323.14, 18,494.60 and 6,401.77 is: 9,607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.14 : 18,494.60 = 6,401.77 : x
  2. Step 2: Convert to fraction form
    12,323.14/18,494.60 = 6,401.77/x
  3. Step 3: Cross multiply
    12,323.14x = 18,494.60 × 6,401.77
  4. Step 4: Simplify right side
    12,323.14x = 118,398,097.20
  5. Step 5: Solve for x
    x = 118,398,097.20/12,323.14
  6. Step 6: Final answer
    x = 9,607.79

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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.