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Finding the Fourth Proportional to 17,770.47, 24,523.09 and 9,812.62

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Solution

The fourth proportional to 17,770.47, 24,523.09 and 9,812.62 is: 13,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,770.47 : 24,523.09 = 9,812.62 : x
  2. Step 2: Convert to fraction form
    17,770.47/24,523.09 = 9,812.62/x
  3. Step 3: Cross multiply
    17,770.47x = 24,523.09 × 9,812.62
  4. Step 4: Simplify right side
    17,770.47x = 240,635,763.40
  5. Step 5: Solve for x
    x = 240,635,763.40/17,770.47
  6. Step 6: Final answer
    x = 13,541.33

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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.