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Finding the Fourth Proportional to 17,232.36, 23,782.71 and 9,678.69

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Solution

The fourth proportional to 17,232.36, 23,782.71 and 9,678.69 is: 13,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,232.36 : 23,782.71 = 9,678.69 : x
  2. Step 2: Convert to fraction form
    17,232.36/23,782.71 = 9,678.69/x
  3. Step 3: Cross multiply
    17,232.36x = 23,782.71 × 9,678.69
  4. Step 4: Simplify right side
    17,232.36x = 230,185,477.45
  5. Step 5: Solve for x
    x = 230,185,477.45/17,232.36
  6. Step 6: Final answer
    x = 13,357.75

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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.