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Finding the Fourth Proportional to 14,530.14, 20,049.12 and 8,562.06

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Solution

The fourth proportional to 14,530.14, 20,049.12 and 8,562.06 is: 11,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,530.14 : 20,049.12 = 8,562.06 : x
  2. Step 2: Convert to fraction form
    14,530.14/20,049.12 = 8,562.06/x
  3. Step 3: Cross multiply
    14,530.14x = 20,049.12 × 8,562.06
  4. Step 4: Simplify right side
    14,530.14x = 171,661,768.39
  5. Step 5: Solve for x
    x = 171,661,768.39/14,530.14
  6. Step 6: Final answer
    x = 11,814.19

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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.