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Finding the Fourth Proportional to 17,166.50, 23,690.13 and 9,714.50

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Solution

The fourth proportional to 17,166.50, 23,690.13 and 9,714.50 is: 13,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,166.50 : 23,690.13 = 9,714.50 : x
  2. Step 2: Convert to fraction form
    17,166.50/23,690.13 = 9,714.50/x
  3. Step 3: Cross multiply
    17,166.50x = 23,690.13 × 9,714.50
  4. Step 4: Simplify right side
    17,166.50x = 230,137,767.89
  5. Step 5: Solve for x
    x = 230,137,767.89/17,166.50
  6. Step 6: Final answer
    x = 13,406.21

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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.