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Finding the Fourth Proportional to 12,214.84, 18,323.34 and 6,665.80

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Solution

The fourth proportional to 12,214.84, 18,323.34 and 6,665.80 is: 9,999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.84 : 18,323.34 = 6,665.80 : x
  2. Step 2: Convert to fraction form
    12,214.84/18,323.34 = 6,665.80/x
  3. Step 3: Cross multiply
    12,214.84x = 18,323.34 × 6,665.80
  4. Step 4: Simplify right side
    12,214.84x = 122,139,719.77
  5. Step 5: Solve for x
    x = 122,139,719.77/12,214.84
  6. Step 6: Final answer
    x = 9,999.29

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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.