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Finding the Fourth Proportional to 17,690.43, 24,412.29 and 9,732.66

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Solution

The fourth proportional to 17,690.43, 24,412.29 and 9,732.66 is: 13,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,690.43 : 24,412.29 = 9,732.66 : x
  2. Step 2: Convert to fraction form
    17,690.43/24,412.29 = 9,732.66/x
  3. Step 3: Cross multiply
    17,690.43x = 24,412.29 × 9,732.66
  4. Step 4: Simplify right side
    17,690.43x = 237,596,390.35
  5. Step 5: Solve for x
    x = 237,596,390.35/17,690.43
  6. Step 6: Final answer
    x = 13,430.78

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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.