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Finding the Fourth Proportional to 17,116.63, 23,620.94 and 9,664.63

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Solution

The fourth proportional to 17,116.63, 23,620.94 and 9,664.63 is: 13,337.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,116.63 : 23,620.94 = 9,664.63 : x
  2. Step 2: Convert to fraction form
    17,116.63/23,620.94 = 9,664.63/x
  3. Step 3: Cross multiply
    17,116.63x = 23,620.94 × 9,664.63
  4. Step 4: Simplify right side
    17,116.63x = 228,287,645.35
  5. Step 5: Solve for x
    x = 228,287,645.35/17,116.63
  6. Step 6: Final answer
    x = 13,337.18

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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.