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Finding the Fourth Proportional to 24,144.63, 33,333.93 and 15,199.80

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Solution

The fourth proportional to 24,144.63, 33,333.93 and 15,199.80 is: 20,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144.63 : 33,333.93 = 15,199.80 : x
  2. Step 2: Convert to fraction form
    24,144.63/33,333.93 = 15,199.80/x
  3. Step 3: Cross multiply
    24,144.63x = 33,333.93 × 15,199.80
  4. Step 4: Simplify right side
    24,144.63x = 506,669,069.21
  5. Step 5: Solve for x
    x = 506,669,069.21/24,144.63
  6. Step 6: Final answer
    x = 20,984.75

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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.