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Finding the Fourth Proportional to 16,969.88, 23,416.08 and 9,896.96

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Solution

The fourth proportional to 16,969.88, 23,416.08 and 9,896.96 is: 13,656.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969.88 : 23,416.08 = 9,896.96 : x
  2. Step 2: Convert to fraction form
    16,969.88/23,416.08 = 9,896.96/x
  3. Step 3: Cross multiply
    16,969.88x = 23,416.08 × 9,896.96
  4. Step 4: Simplify right side
    16,969.88x = 231,748,007.12
  5. Step 5: Solve for x
    x = 231,748,007.12/16,969.88
  6. Step 6: Final answer
    x = 13,656.43

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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.