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Finding the Fourth Proportional to 13,762, 18,995.09 and 8,388.08

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Solution

The fourth proportional to 13,762, 18,995.09 and 8,388.08 is: 11,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762 : 18,995.09 = 8,388.08 : x
  2. Step 2: Convert to fraction form
    13,762/18,995.09 = 8,388.08/x
  3. Step 3: Cross multiply
    13,762x = 18,995.09 × 8,388.08
  4. Step 4: Simplify right side
    13,762x = 159,332,334.53
  5. Step 5: Solve for x
    x = 159,332,334.53/13,762
  6. Step 6: Final answer
    x = 11,577.70

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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.