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Finding the Fourth Proportional to 17,214.58, 23,758.50 and 9,661.36

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Solution

The fourth proportional to 17,214.58, 23,758.50 and 9,661.36 is: 13,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.58 : 23,758.50 = 9,661.36 : x
  2. Step 2: Convert to fraction form
    17,214.58/23,758.50 = 9,661.36/x
  3. Step 3: Cross multiply
    17,214.58x = 23,758.50 × 9,661.36
  4. Step 4: Simplify right side
    17,214.58x = 229,539,388.60
  5. Step 5: Solve for x
    x = 229,539,388.60/17,214.58
  6. Step 6: Final answer
    x = 13,334.01

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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.