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Finding the Fourth Proportional to 17,809.74, 24,577.62 and 9,743.24

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Solution

The fourth proportional to 17,809.74, 24,577.62 and 9,743.24 is: 13,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.74 : 24,577.62 = 9,743.24 : x
  2. Step 2: Convert to fraction form
    17,809.74/24,577.62 = 9,743.24/x
  3. Step 3: Cross multiply
    17,809.74x = 24,577.62 × 9,743.24
  4. Step 4: Simplify right side
    17,809.74x = 239,465,650.29
  5. Step 5: Solve for x
    x = 239,465,650.29/17,809.74
  6. Step 6: Final answer
    x = 13,445.77

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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.