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Finding the Fourth Proportional to 16,817.36, 23,207 and 9,263.42

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Solution

The fourth proportional to 16,817.36, 23,207 and 9,263.42 is: 12,782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,817.36 : 23,207 = 9,263.42 : x
  2. Step 2: Convert to fraction form
    16,817.36/23,207 = 9,263.42/x
  3. Step 3: Cross multiply
    16,817.36x = 23,207 × 9,263.42
  4. Step 4: Simplify right side
    16,817.36x = 214,976,187.94
  5. Step 5: Solve for x
    x = 214,976,187.94/16,817.36
  6. Step 6: Final answer
    x = 12,782.99

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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.