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Finding the Fourth Proportional to 17,213.13, 23,748.71 and 9,658.35

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Solution

The fourth proportional to 17,213.13, 23,748.71 and 9,658.35 is: 13,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,213.13 : 23,748.71 = 9,658.35 : x
  2. Step 2: Convert to fraction form
    17,213.13/23,748.71 = 9,658.35/x
  3. Step 3: Cross multiply
    17,213.13x = 23,748.71 × 9,658.35
  4. Step 4: Simplify right side
    17,213.13x = 229,373,304.94
  5. Step 5: Solve for x
    x = 229,373,304.94/17,213.13
  6. Step 6: Final answer
    x = 13,325.48

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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.