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Finding the Fourth Proportional to 23,699.74, 32,716.08 and 14,142.94

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Solution

The fourth proportional to 23,699.74, 32,716.08 and 14,142.94 is: 19,523.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,699.74 : 32,716.08 = 14,142.94 : x
  2. Step 2: Convert to fraction form
    23,699.74/32,716.08 = 14,142.94/x
  3. Step 3: Cross multiply
    23,699.74x = 32,716.08 × 14,142.94
  4. Step 4: Simplify right side
    23,699.74x = 462,701,556.48
  5. Step 5: Solve for x
    x = 462,701,556.48/23,699.74
  6. Step 6: Final answer
    x = 19,523.49

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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.