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Finding the Fourth Proportional to 23,786.40, 32,814.54 and 17,818.32

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Solution

The fourth proportional to 23,786.40, 32,814.54 and 17,818.32 is: 24,581.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,786.40 : 32,814.54 = 17,818.32 : x
  2. Step 2: Convert to fraction form
    23,786.40/32,814.54 = 17,818.32/x
  3. Step 3: Cross multiply
    23,786.40x = 32,814.54 × 17,818.32
  4. Step 4: Simplify right side
    23,786.40x = 584,699,974.37
  5. Step 5: Solve for x
    x = 584,699,974.37/23,786.40
  6. Step 6: Final answer
    x = 24,581.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.