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Finding the Fourth Proportional to 10,103.72, 13,939.35 and 10,088.14

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Solution

The fourth proportional to 10,103.72, 13,939.35 and 10,088.14 is: 13,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.72 : 13,939.35 = 10,088.14 : x
  2. Step 2: Convert to fraction form
    10,103.72/13,939.35 = 10,088.14/x
  3. Step 3: Cross multiply
    10,103.72x = 13,939.35 × 10,088.14
  4. Step 4: Simplify right side
    10,103.72x = 140,622,114.31
  5. Step 5: Solve for x
    x = 140,622,114.31/10,103.72
  6. Step 6: Final answer
    x = 13,917.86

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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.