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Finding the Fourth Proportional to 12,220.86, 18,298.49 and 6,365.17

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Solution

The fourth proportional to 12,220.86, 18,298.49 and 6,365.17 is: 9,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.86 : 18,298.49 = 6,365.17 : x
  2. Step 2: Convert to fraction form
    12,220.86/18,298.49 = 6,365.17/x
  3. Step 3: Cross multiply
    12,220.86x = 18,298.49 × 6,365.17
  4. Step 4: Simplify right side
    12,220.86x = 116,472,999.59
  5. Step 5: Solve for x
    x = 116,472,999.59/12,220.86
  6. Step 6: Final answer
    x = 9,530.67

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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.