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Finding the Fourth Proportional to 23,820.36, 35,736.43 and 16,814.10

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Solution

The fourth proportional to 23,820.36, 35,736.43 and 16,814.10 is: 25,225.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,820.36 : 35,736.43 = 16,814.10 : x
  2. Step 2: Convert to fraction form
    23,820.36/35,736.43 = 16,814.10/x
  3. Step 3: Cross multiply
    23,820.36x = 35,736.43 × 16,814.10
  4. Step 4: Simplify right side
    23,820.36x = 600,875,988.29
  5. Step 5: Solve for x
    x = 600,875,988.29/23,820.36
  6. Step 6: Final answer
    x = 25,225.31

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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.