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Finding the Fourth Proportional to 17,085.30, 25,654.35 and 9,309.30

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Solution

The fourth proportional to 17,085.30, 25,654.35 and 9,309.30 is: 13,978.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,085.30 : 25,654.35 = 9,309.30 : x
  2. Step 2: Convert to fraction form
    17,085.30/25,654.35 = 9,309.30/x
  3. Step 3: Cross multiply
    17,085.30x = 25,654.35 × 9,309.30
  4. Step 4: Simplify right side
    17,085.30x = 238,824,040.46
  5. Step 5: Solve for x
    x = 238,824,040.46/17,085.30
  6. Step 6: Final answer
    x = 13,978.33

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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.