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Finding the Fourth Proportional to 12,471.12, 17,205.72 and 8,230.14

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Solution

The fourth proportional to 12,471.12, 17,205.72 and 8,230.14 is: 11,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.12 : 17,205.72 = 8,230.14 : x
  2. Step 2: Convert to fraction form
    12,471.12/17,205.72 = 8,230.14/x
  3. Step 3: Cross multiply
    12,471.12x = 17,205.72 × 8,230.14
  4. Step 4: Simplify right side
    12,471.12x = 141,605,484.40
  5. Step 5: Solve for x
    x = 141,605,484.40/12,471.12
  6. Step 6: Final answer
    x = 11,354.67

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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.