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Finding the Fourth Proportional to 23,924.74, 35,893.04 and 11,454.24

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Solution

The fourth proportional to 23,924.74, 35,893.04 and 11,454.24 is: 17,184.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,924.74 : 35,893.04 = 11,454.24 : x
  2. Step 2: Convert to fraction form
    23,924.74/35,893.04 = 11,454.24/x
  3. Step 3: Cross multiply
    23,924.74x = 35,893.04 × 11,454.24
  4. Step 4: Simplify right side
    23,924.74x = 411,127,494.49
  5. Step 5: Solve for x
    x = 411,127,494.49/23,924.74
  6. Step 6: Final answer
    x = 17,184.20

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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.