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Finding the Fourth Proportional to 30,914.87, 42,668.89 and 17,486.69

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Solution

The fourth proportional to 30,914.87, 42,668.89 and 17,486.69 is: 24,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914.87 : 42,668.89 = 17,486.69 : x
  2. Step 2: Convert to fraction form
    30,914.87/42,668.89 = 17,486.69/x
  3. Step 3: Cross multiply
    30,914.87x = 42,668.89 × 17,486.69
  4. Step 4: Simplify right side
    30,914.87x = 746,137,395.01
  5. Step 5: Solve for x
    x = 746,137,395.01/30,914.87
  6. Step 6: Final answer
    x = 24,135.23

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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.