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Finding the Fourth Proportional to 13,953.30, 19,255.46 and 7,665.63

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Solution

The fourth proportional to 13,953.30, 19,255.46 and 7,665.63 is: 10,578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.30 : 19,255.46 = 7,665.63 : x
  2. Step 2: Convert to fraction form
    13,953.30/19,255.46 = 7,665.63/x
  3. Step 3: Cross multiply
    13,953.30x = 19,255.46 × 7,665.63
  4. Step 4: Simplify right side
    13,953.30x = 147,605,231.84
  5. Step 5: Solve for x
    x = 147,605,231.84/13,953.30
  6. Step 6: Final answer
    x = 10,578.52

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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.