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Finding the Fourth Proportional to 17,031.86, 23,505.42 and 9,477.98

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Solution

The fourth proportional to 17,031.86, 23,505.42 and 9,477.98 is: 13,080.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,031.86 : 23,505.42 = 9,477.98 : x
  2. Step 2: Convert to fraction form
    17,031.86/23,505.42 = 9,477.98/x
  3. Step 3: Cross multiply
    17,031.86x = 23,505.42 × 9,477.98
  4. Step 4: Simplify right side
    17,031.86x = 222,783,900.65
  5. Step 5: Solve for x
    x = 222,783,900.65/17,031.86
  6. Step 6: Final answer
    x = 13,080.42

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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.