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Finding the Fourth Proportional to 24,047.76, 33,189.54 and 14,614.50

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Solution

The fourth proportional to 24,047.76, 33,189.54 and 14,614.50 is: 20,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,047.76 : 33,189.54 = 14,614.50 : x
  2. Step 2: Convert to fraction form
    24,047.76/33,189.54 = 14,614.50/x
  3. Step 3: Cross multiply
    24,047.76x = 33,189.54 × 14,614.50
  4. Step 4: Simplify right side
    24,047.76x = 485,048,532.33
  5. Step 5: Solve for x
    x = 485,048,532.33/24,047.76
  6. Step 6: Final answer
    x = 20,170.22

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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.