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Finding the Fourth Proportional to 13,952.77, 19,255.77 and 7,665.21

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Solution

The fourth proportional to 13,952.77, 19,255.77 and 7,665.21 is: 10,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.77 : 19,255.77 = 7,665.21 : x
  2. Step 2: Convert to fraction form
    13,952.77/19,255.77 = 7,665.21/x
  3. Step 3: Cross multiply
    13,952.77x = 19,255.77 × 7,665.21
  4. Step 4: Simplify right side
    13,952.77x = 147,599,520.76
  5. Step 5: Solve for x
    x = 147,599,520.76/13,952.77
  6. Step 6: Final answer
    x = 10,578.51

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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.