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Finding the Fourth Proportional to 13,781.63, 19,027.77 and 10,589.22

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Solution

The fourth proportional to 13,781.63, 19,027.77 and 10,589.22 is: 14,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.63 : 19,027.77 = 10,589.22 : x
  2. Step 2: Convert to fraction form
    13,781.63/19,027.77 = 10,589.22/x
  3. Step 3: Cross multiply
    13,781.63x = 19,027.77 × 10,589.22
  4. Step 4: Simplify right side
    13,781.63x = 201,489,242.64
  5. Step 5: Solve for x
    x = 201,489,242.64/13,781.63
  6. Step 6: Final answer
    x = 14,620.13

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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.