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Finding the Fourth Proportional to 17,422.96, 24,044.10 and 9,465.64

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Solution

The fourth proportional to 17,422.96, 24,044.10 and 9,465.64 is: 13,062.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,422.96 : 24,044.10 = 9,465.64 : x
  2. Step 2: Convert to fraction form
    17,422.96/24,044.10 = 9,465.64/x
  3. Step 3: Cross multiply
    17,422.96x = 24,044.10 × 9,465.64
  4. Step 4: Simplify right side
    17,422.96x = 227,592,794.72
  5. Step 5: Solve for x
    x = 227,592,794.72/17,422.96
  6. Step 6: Final answer
    x = 13,062.81

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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.