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Finding the Fourth Proportional to 17,114.34, 23,615.28 and 9,559.74

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Solution

The fourth proportional to 17,114.34, 23,615.28 and 9,559.74 is: 13,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,114.34 : 23,615.28 = 9,559.74 : x
  2. Step 2: Convert to fraction form
    17,114.34/23,615.28 = 9,559.74/x
  3. Step 3: Cross multiply
    17,114.34x = 23,615.28 × 9,559.74
  4. Step 4: Simplify right side
    17,114.34x = 225,755,936.83
  5. Step 5: Solve for x
    x = 225,755,936.83/17,114.34
  6. Step 6: Final answer
    x = 13,191.04

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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.