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Finding the Fourth Proportional to 14,205.11, 19,605.34 and 8,235.61

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Solution

The fourth proportional to 14,205.11, 19,605.34 and 8,235.61 is: 11,366.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.11 : 19,605.34 = 8,235.61 : x
  2. Step 2: Convert to fraction form
    14,205.11/19,605.34 = 8,235.61/x
  3. Step 3: Cross multiply
    14,205.11x = 19,605.34 × 8,235.61
  4. Step 4: Simplify right side
    14,205.11x = 161,461,895.44
  5. Step 5: Solve for x
    x = 161,461,895.44/14,205.11
  6. Step 6: Final answer
    x = 11,366.47

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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.