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Finding the Fourth Proportional to 23,838.64, 35,714.36 and 11,165.13

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Solution

The fourth proportional to 23,838.64, 35,714.36 and 11,165.13 is: 16,727.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.64 : 35,714.36 = 11,165.13 : x
  2. Step 2: Convert to fraction form
    23,838.64/35,714.36 = 11,165.13/x
  3. Step 3: Cross multiply
    23,838.64x = 35,714.36 × 11,165.13
  4. Step 4: Simplify right side
    23,838.64x = 398,755,371.45
  5. Step 5: Solve for x
    x = 398,755,371.45/23,838.64
  6. Step 6: Final answer
    x = 16,727.27

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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.