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Finding the Fourth Proportional to 17,116.25, 25,653.16 and 9,698.22

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Solution

The fourth proportional to 17,116.25, 25,653.16 and 9,698.22 is: 14,535.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,116.25 : 25,653.16 = 9,698.22 : x
  2. Step 2: Convert to fraction form
    17,116.25/25,653.16 = 9,698.22/x
  3. Step 3: Cross multiply
    17,116.25x = 25,653.16 × 9,698.22
  4. Step 4: Simplify right side
    17,116.25x = 248,789,989.38
  5. Step 5: Solve for x
    x = 248,789,989.38/17,116.25
  6. Step 6: Final answer
    x = 14,535.31

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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.