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Finding the Fourth Proportional to 13,873, 19,143.26 and 7,903.40

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Solution

The fourth proportional to 13,873, 19,143.26 and 7,903.40 is: 10,905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873 : 19,143.26 = 7,903.40 : x
  2. Step 2: Convert to fraction form
    13,873/19,143.26 = 7,903.40/x
  3. Step 3: Cross multiply
    13,873x = 19,143.26 × 7,903.40
  4. Step 4: Simplify right side
    13,873x = 151,296,841.08
  5. Step 5: Solve for x
    x = 151,296,841.08/13,873
  6. Step 6: Final answer
    x = 10,905.85

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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.