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Finding the Fourth Proportional to 16,968, 23,415.84 and 9,893.06

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Solution

The fourth proportional to 16,968, 23,415.84 and 9,893.06 is: 13,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,968 : 23,415.84 = 9,893.06 : x
  2. Step 2: Convert to fraction form
    16,968/23,415.84 = 9,893.06/x
  3. Step 3: Cross multiply
    16,968x = 23,415.84 × 9,893.06
  4. Step 4: Simplify right side
    16,968x = 231,654,192.99
  5. Step 5: Solve for x
    x = 231,654,192.99/16,968
  6. Step 6: Final answer
    x = 13,652.42

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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.