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Finding the Fourth Proportional to 17,175.24, 25,762.86 and 9,389.52

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Solution

The fourth proportional to 17,175.24, 25,762.86 and 9,389.52 is: 14,084.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,175.24 : 25,762.86 = 9,389.52 : x
  2. Step 2: Convert to fraction form
    17,175.24/25,762.86 = 9,389.52/x
  3. Step 3: Cross multiply
    17,175.24x = 25,762.86 × 9,389.52
  4. Step 4: Simplify right side
    17,175.24x = 241,900,889.23
  5. Step 5: Solve for x
    x = 241,900,889.23/17,175.24
  6. Step 6: Final answer
    x = 14,084.28

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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.