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Finding the Fourth Proportional to 24,274.01, 36,412.98 and 6,743.84

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Solution

The fourth proportional to 24,274.01, 36,412.98 and 6,743.84 is: 10,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.01 : 36,412.98 = 6,743.84 : x
  2. Step 2: Convert to fraction form
    24,274.01/36,412.98 = 6,743.84/x
  3. Step 3: Cross multiply
    24,274.01x = 36,412.98 × 6,743.84
  4. Step 4: Simplify right side
    24,274.01x = 245,563,311.04
  5. Step 5: Solve for x
    x = 245,563,311.04/24,274.01
  6. Step 6: Final answer
    x = 10,116.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.