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Finding the Fourth Proportional to 13,794, 19,035.72 and 7,506.42

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Solution

The fourth proportional to 13,794, 19,035.72 and 7,506.42 is: 10,358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,794 : 19,035.72 = 7,506.42 : x
  2. Step 2: Convert to fraction form
    13,794/19,035.72 = 7,506.42/x
  3. Step 3: Cross multiply
    13,794x = 19,035.72 × 7,506.42
  4. Step 4: Simplify right side
    13,794x = 142,890,109.32
  5. Step 5: Solve for x
    x = 142,890,109.32/13,794
  6. Step 6: Final answer
    x = 10,358.86

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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.