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Finding the Fourth Proportional to 23,012.54, 31,768 and 17,349.58

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Solution

The fourth proportional to 23,012.54, 31,768 and 17,349.58 is: 23,950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,012.54 : 31,768 = 17,349.58 : x
  2. Step 2: Convert to fraction form
    23,012.54/31,768 = 17,349.58/x
  3. Step 3: Cross multiply
    23,012.54x = 31,768 × 17,349.58
  4. Step 4: Simplify right side
    23,012.54x = 551,161,457.44
  5. Step 5: Solve for x
    x = 551,161,457.44/23,012.54
  6. Step 6: Final answer
    x = 23,950.48

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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.