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Finding the Fourth Proportional to 17,252.94, 23,802.31 and 9,697.55

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Solution

The fourth proportional to 17,252.94, 23,802.31 and 9,697.55 is: 13,378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,252.94 : 23,802.31 = 9,697.55 : x
  2. Step 2: Convert to fraction form
    17,252.94/23,802.31 = 9,697.55/x
  3. Step 3: Cross multiply
    17,252.94x = 23,802.31 × 9,697.55
  4. Step 4: Simplify right side
    17,252.94x = 230,824,091.34
  5. Step 5: Solve for x
    x = 230,824,091.34/17,252.94
  6. Step 6: Final answer
    x = 13,378.83

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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.