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Finding the Fourth Proportional to 13,793.82, 19,035.43 and 7,506.19

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Solution

The fourth proportional to 13,793.82, 19,035.43 and 7,506.19 is: 10,358.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.82 : 19,035.43 = 7,506.19 : x
  2. Step 2: Convert to fraction form
    13,793.82/19,035.43 = 7,506.19/x
  3. Step 3: Cross multiply
    13,793.82x = 19,035.43 × 7,506.19
  4. Step 4: Simplify right side
    13,793.82x = 142,883,554.31
  5. Step 5: Solve for x
    x = 142,883,554.31/13,793.82
  6. Step 6: Final answer
    x = 10,358.52

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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.