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Finding the Fourth Proportional to 17,378.34, 23,982.12 and 9,420.63

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Solution

The fourth proportional to 17,378.34, 23,982.12 and 9,420.63 is: 13,000.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378.34 : 23,982.12 = 9,420.63 : x
  2. Step 2: Convert to fraction form
    17,378.34/23,982.12 = 9,420.63/x
  3. Step 3: Cross multiply
    17,378.34x = 23,982.12 × 9,420.63
  4. Step 4: Simplify right side
    17,378.34x = 225,926,679.14
  5. Step 5: Solve for x
    x = 225,926,679.14/17,378.34
  6. Step 6: Final answer
    x = 13,000.48

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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.