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Finding the Fourth Proportional to 13,952.75, 19,254.93 and 7,665.26

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Solution

The fourth proportional to 13,952.75, 19,254.93 and 7,665.26 is: 10,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.75 : 19,254.93 = 7,665.26 : x
  2. Step 2: Convert to fraction form
    13,952.75/19,254.93 = 7,665.26/x
  3. Step 3: Cross multiply
    13,952.75x = 19,254.93 × 7,665.26
  4. Step 4: Simplify right side
    13,952.75x = 147,594,044.73
  5. Step 5: Solve for x
    x = 147,594,044.73/13,952.75
  6. Step 6: Final answer
    x = 10,578.13

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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.