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Finding the Fourth Proportional to 13,950.93, 19,245.82 and 8,282.46

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Solution

The fourth proportional to 13,950.93, 19,245.82 and 8,282.46 is: 11,425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.93 : 19,245.82 = 8,282.46 : x
  2. Step 2: Convert to fraction form
    13,950.93/19,245.82 = 8,282.46/x
  3. Step 3: Cross multiply
    13,950.93x = 19,245.82 × 8,282.46
  4. Step 4: Simplify right side
    13,950.93x = 159,402,734.32
  5. Step 5: Solve for x
    x = 159,402,734.32/13,950.93
  6. Step 6: Final answer
    x = 11,425.96

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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.