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Finding the Fourth Proportional to 17,632.40, 24,331.14 and 10,077.23

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Solution

The fourth proportional to 17,632.40, 24,331.14 and 10,077.23 is: 13,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.40 : 24,331.14 = 10,077.23 : x
  2. Step 2: Convert to fraction form
    17,632.40/24,331.14 = 10,077.23/x
  3. Step 3: Cross multiply
    17,632.40x = 24,331.14 × 10,077.23
  4. Step 4: Simplify right side
    17,632.40x = 245,190,493.94
  5. Step 5: Solve for x
    x = 245,190,493.94/17,632.40
  6. Step 6: Final answer
    x = 13,905.68

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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.