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Finding the Fourth Proportional to 12,156.14, 18,236.73 and 5,136.17

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Solution

The fourth proportional to 12,156.14, 18,236.73 and 5,136.17 is: 7,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.14 : 18,236.73 = 5,136.17 : x
  2. Step 2: Convert to fraction form
    12,156.14/18,236.73 = 5,136.17/x
  3. Step 3: Cross multiply
    12,156.14x = 18,236.73 × 5,136.17
  4. Step 4: Simplify right side
    12,156.14x = 93,666,854.34
  5. Step 5: Solve for x
    x = 93,666,854.34/12,156.14
  6. Step 6: Final answer
    x = 7,705.32

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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.