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Finding the Fourth Proportional to 17,697.12, 24,421.86 and 9,739.14

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Solution

The fourth proportional to 17,697.12, 24,421.86 and 9,739.14 is: 13,439.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697.12 : 24,421.86 = 9,739.14 : x
  2. Step 2: Convert to fraction form
    17,697.12/24,421.86 = 9,739.14/x
  3. Step 3: Cross multiply
    17,697.12x = 24,421.86 × 9,739.14
  4. Step 4: Simplify right side
    17,697.12x = 237,847,913.60
  5. Step 5: Solve for x
    x = 237,847,913.60/17,697.12
  6. Step 6: Final answer
    x = 13,439.92

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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.