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Finding the Fourth Proportional to 13,801.50, 19,046.48 and 7,514.28

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Solution

The fourth proportional to 13,801.50, 19,046.48 and 7,514.28 is: 10,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.50 : 19,046.48 = 7,514.28 : x
  2. Step 2: Convert to fraction form
    13,801.50/19,046.48 = 7,514.28/x
  3. Step 3: Cross multiply
    13,801.50x = 19,046.48 × 7,514.28
  4. Step 4: Simplify right side
    13,801.50x = 143,120,546.16
  5. Step 5: Solve for x
    x = 143,120,546.16/13,801.50
  6. Step 6: Final answer
    x = 10,369.93

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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.