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Finding the Fourth Proportional to 17,314.21, 23,893.53 and 9,356.41

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Solution

The fourth proportional to 17,314.21, 23,893.53 and 9,356.41 is: 12,911.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.21 : 23,893.53 = 9,356.41 : x
  2. Step 2: Convert to fraction form
    17,314.21/23,893.53 = 9,356.41/x
  3. Step 3: Cross multiply
    17,314.21x = 23,893.53 × 9,356.41
  4. Step 4: Simplify right side
    17,314.21x = 223,557,663.03
  5. Step 5: Solve for x
    x = 223,557,663.03/17,314.21
  6. Step 6: Final answer
    x = 12,911.80

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1.5x scale

Why These Related Problems?

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