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Finding the Fourth Proportional to 17,114.51, 23,617.18 and 9,559.34

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Solution

The fourth proportional to 17,114.51, 23,617.18 and 9,559.34 is: 13,191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.51 : 23,617.18 = 9,559.34 : x
  2. Step 2: Convert to fraction form
    17,114.51/23,617.18 = 9,559.34/x
  3. Step 3: Cross multiply
    17,114.51x = 23,617.18 × 9,559.34
  4. Step 4: Simplify right side
    17,114.51x = 225,764,594.42
  5. Step 5: Solve for x
    x = 225,764,594.42/17,114.51
  6. Step 6: Final answer
    x = 13,191.41

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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.