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Finding the Fourth Proportional to 17,699.58, 24,425.91 and 9,742.30

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Solution

The fourth proportional to 17,699.58, 24,425.91 and 9,742.30 is: 13,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,699.58 : 24,425.91 = 9,742.30 : x
  2. Step 2: Convert to fraction form
    17,699.58/24,425.91 = 9,742.30/x
  3. Step 3: Cross multiply
    17,699.58x = 24,425.91 × 9,742.30
  4. Step 4: Simplify right side
    17,699.58x = 237,964,481.93
  5. Step 5: Solve for x
    x = 237,964,481.93/17,699.58
  6. Step 6: Final answer
    x = 13,444.64

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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.