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Finding the Fourth Proportional to 14,530.91, 20,036.14 and 13,114.14

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Solution

The fourth proportional to 14,530.91, 20,036.14 and 13,114.14 is: 18,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,530.91 : 20,036.14 = 13,114.14 : x
  2. Step 2: Convert to fraction form
    14,530.91/20,036.14 = 13,114.14/x
  3. Step 3: Cross multiply
    14,530.91x = 20,036.14 × 13,114.14
  4. Step 4: Simplify right side
    14,530.91x = 262,756,745.02
  5. Step 5: Solve for x
    x = 262,756,745.02/14,530.91
  6. Step 6: Final answer
    x = 18,082.61

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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.