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Finding the Fourth Proportional to 17,102.90, 25,639.14 and 9,209.72

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Solution

The fourth proportional to 17,102.90, 25,639.14 and 9,209.72 is: 13,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102.90 : 25,639.14 = 9,209.72 : x
  2. Step 2: Convert to fraction form
    17,102.90/25,639.14 = 9,209.72/x
  3. Step 3: Cross multiply
    17,102.90x = 25,639.14 × 9,209.72
  4. Step 4: Simplify right side
    17,102.90x = 236,129,300.44
  5. Step 5: Solve for x
    x = 236,129,300.44/17,102.90
  6. Step 6: Final answer
    x = 13,806.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.