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Finding the Fourth Proportional to 13,767.84, 18,999.62 and 7,480.21

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Solution

The fourth proportional to 13,767.84, 18,999.62 and 7,480.21 is: 10,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.84 : 18,999.62 = 7,480.21 : x
  2. Step 2: Convert to fraction form
    13,767.84/18,999.62 = 7,480.21/x
  3. Step 3: Cross multiply
    13,767.84x = 18,999.62 × 7,480.21
  4. Step 4: Simplify right side
    13,767.84x = 142,121,147.52
  5. Step 5: Solve for x
    x = 142,121,147.52/13,767.84
  6. Step 6: Final answer
    x = 10,322.69

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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.