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Finding the Fourth Proportional to 14,516.12, 20,035.95 and 8,232.14

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Solution

The fourth proportional to 14,516.12, 20,035.95 and 8,232.14 is: 11,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516.12 : 20,035.95 = 8,232.14 : x
  2. Step 2: Convert to fraction form
    14,516.12/20,035.95 = 8,232.14/x
  3. Step 3: Cross multiply
    14,516.12x = 20,035.95 × 8,232.14
  4. Step 4: Simplify right side
    14,516.12x = 164,938,745.43
  5. Step 5: Solve for x
    x = 164,938,745.43/14,516.12
  6. Step 6: Final answer
    x = 11,362.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.