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Finding the Fourth Proportional to 13,837.90, 19,073.54 and 9,806.08

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Solution

The fourth proportional to 13,837.90, 19,073.54 and 9,806.08 is: 13,516.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837.90 : 19,073.54 = 9,806.08 : x
  2. Step 2: Convert to fraction form
    13,837.90/19,073.54 = 9,806.08/x
  3. Step 3: Cross multiply
    13,837.90x = 19,073.54 × 9,806.08
  4. Step 4: Simplify right side
    13,837.90x = 187,036,659.12
  5. Step 5: Solve for x
    x = 187,036,659.12/13,837.90
  6. Step 6: Final answer
    x = 13,516.26

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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.