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Finding the Fourth Proportional to 13,254, 18,290.52 and 7,665.36

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Solution

The fourth proportional to 13,254, 18,290.52 and 7,665.36 is: 10,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254 : 18,290.52 = 7,665.36 : x
  2. Step 2: Convert to fraction form
    13,254/18,290.52 = 7,665.36/x
  3. Step 3: Cross multiply
    13,254x = 18,290.52 × 7,665.36
  4. Step 4: Simplify right side
    13,254x = 140,203,420.39
  5. Step 5: Solve for x
    x = 140,203,420.39/13,254
  6. Step 6: Final answer
    x = 10,578.20

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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.