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Finding the Fourth Proportional to 14,282.70, 19,709.19 and 7,994.94

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Solution

The fourth proportional to 14,282.70, 19,709.19 and 7,994.94 is: 11,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.70 : 19,709.19 = 7,994.94 : x
  2. Step 2: Convert to fraction form
    14,282.70/19,709.19 = 7,994.94/x
  3. Step 3: Cross multiply
    14,282.70x = 19,709.19 × 7,994.94
  4. Step 4: Simplify right side
    14,282.70x = 157,573,791.50
  5. Step 5: Solve for x
    x = 157,573,791.50/14,282.70
  6. Step 6: Final answer
    x = 11,032.49

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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.