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Finding the Fourth Proportional to 24,274.72, 36,412.56 and 7,634.40

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Solution

The fourth proportional to 24,274.72, 36,412.56 and 7,634.40 is: 11,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.72 : 36,412.56 = 7,634.40 : x
  2. Step 2: Convert to fraction form
    24,274.72/36,412.56 = 7,634.40/x
  3. Step 3: Cross multiply
    24,274.72x = 36,412.56 × 7,634.40
  4. Step 4: Simplify right side
    24,274.72x = 277,988,048.06
  5. Step 5: Solve for x
    x = 277,988,048.06/24,274.72
  6. Step 6: Final answer
    x = 11,451.75

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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.