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Finding the Fourth Proportional to 13,802.56, 19,046.96 and 7,514.94

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Solution

The fourth proportional to 13,802.56, 19,046.96 and 7,514.94 is: 10,370.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.56 : 19,046.96 = 7,514.94 : x
  2. Step 2: Convert to fraction form
    13,802.56/19,046.96 = 7,514.94/x
  3. Step 3: Cross multiply
    13,802.56x = 19,046.96 × 7,514.94
  4. Step 4: Simplify right side
    13,802.56x = 143,136,761.58
  5. Step 5: Solve for x
    x = 143,136,761.58/13,802.56
  6. Step 6: Final answer
    x = 10,370.31

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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.