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Finding the Fourth Proportional to 17,085.40, 23,577.54 and 9,633.40

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Solution

The fourth proportional to 17,085.40, 23,577.54 and 9,633.40 is: 13,293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,085.40 : 23,577.54 = 9,633.40 : x
  2. Step 2: Convert to fraction form
    17,085.40/23,577.54 = 9,633.40/x
  3. Step 3: Cross multiply
    17,085.40x = 23,577.54 × 9,633.40
  4. Step 4: Simplify right side
    17,085.40x = 227,131,873.84
  5. Step 5: Solve for x
    x = 227,131,873.84/17,085.40
  6. Step 6: Final answer
    x = 13,293.92

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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.