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Finding the Fourth Proportional to 17,823.44, 24,596.05 and 9,865.50

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Solution

The fourth proportional to 17,823.44, 24,596.05 and 9,865.50 is: 13,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.44 : 24,596.05 = 9,865.50 : x
  2. Step 2: Convert to fraction form
    17,823.44/24,596.05 = 9,865.50/x
  3. Step 3: Cross multiply
    17,823.44x = 24,596.05 × 9,865.50
  4. Step 4: Simplify right side
    17,823.44x = 242,652,331.28
  5. Step 5: Solve for x
    x = 242,652,331.28/17,823.44
  6. Step 6: Final answer
    x = 13,614.23

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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.