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Finding the Fourth Proportional to 17,166, 23,689.56 and 9,714.48

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Solution

The fourth proportional to 17,166, 23,689.56 and 9,714.48 is: 13,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,166 : 23,689.56 = 9,714.48 : x
  2. Step 2: Convert to fraction form
    17,166/23,689.56 = 9,714.48/x
  3. Step 3: Cross multiply
    17,166x = 23,689.56 × 9,714.48
  4. Step 4: Simplify right side
    17,166x = 230,131,756.83
  5. Step 5: Solve for x
    x = 230,131,756.83/17,166
  6. Step 6: Final answer
    x = 13,406.25

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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.