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Finding the Fourth Proportional to 19,802.18, 29,692.20 and 8,123.60

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Solution

The fourth proportional to 19,802.18, 29,692.20 and 8,123.60 is: 12,180.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802.18 : 29,692.20 = 8,123.60 : x
  2. Step 2: Convert to fraction form
    19,802.18/29,692.20 = 8,123.60/x
  3. Step 3: Cross multiply
    19,802.18x = 29,692.20 × 8,123.60
  4. Step 4: Simplify right side
    19,802.18x = 241,207,555.92
  5. Step 5: Solve for x
    x = 241,207,555.92/19,802.18
  6. Step 6: Final answer
    x = 12,180.86

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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.