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Finding the Fourth Proportional to 12,123.90, 18,185.28 and 3,802.62

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Solution

The fourth proportional to 12,123.90, 18,185.28 and 3,802.62 is: 5,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.90 : 18,185.28 = 3,802.62 : x
  2. Step 2: Convert to fraction form
    12,123.90/18,185.28 = 3,802.62/x
  3. Step 3: Cross multiply
    12,123.90x = 18,185.28 × 3,802.62
  4. Step 4: Simplify right side
    12,123.90x = 69,151,709.43
  5. Step 5: Solve for x
    x = 69,151,709.43/12,123.90
  6. Step 6: Final answer
    x = 5,703.75

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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.