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Finding the Fourth Proportional to 13,461.99, 20,179.86 and 6,440.17

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Solution

The fourth proportional to 13,461.99, 20,179.86 and 6,440.17 is: 9,653.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.99 : 20,179.86 = 6,440.17 : x
  2. Step 2: Convert to fraction form
    13,461.99/20,179.86 = 6,440.17/x
  3. Step 3: Cross multiply
    13,461.99x = 20,179.86 × 6,440.17
  4. Step 4: Simplify right side
    13,461.99x = 129,961,728.98
  5. Step 5: Solve for x
    x = 129,961,728.98/13,461.99
  6. Step 6: Final answer
    x = 9,653.98

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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.