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Finding the Fourth Proportional to 13,102.83, 18,090.27 and 10,072.08

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Solution

The fourth proportional to 13,102.83, 18,090.27 and 10,072.08 is: 13,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.83 : 18,090.27 = 10,072.08 : x
  2. Step 2: Convert to fraction form
    13,102.83/18,090.27 = 10,072.08/x
  3. Step 3: Cross multiply
    13,102.83x = 18,090.27 × 10,072.08
  4. Step 4: Simplify right side
    13,102.83x = 182,206,646.66
  5. Step 5: Solve for x
    x = 182,206,646.66/13,102.83
  6. Step 6: Final answer
    x = 13,905.90

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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.