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Finding the Fourth Proportional to 10,105.64, 13,942.01 and 10,090.06

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Solution

The fourth proportional to 10,105.64, 13,942.01 and 10,090.06 is: 13,920.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.64 : 13,942.01 = 10,090.06 : x
  2. Step 2: Convert to fraction form
    10,105.64/13,942.01 = 10,090.06/x
  3. Step 3: Cross multiply
    10,105.64x = 13,942.01 × 10,090.06
  4. Step 4: Simplify right side
    10,105.64x = 140,675,703.32
  5. Step 5: Solve for x
    x = 140,675,703.32/10,105.64
  6. Step 6: Final answer
    x = 13,920.52

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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.