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Finding the Fourth Proportional to 17,509.59, 24,163.86 and 9,956.25

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Solution

The fourth proportional to 17,509.59, 24,163.86 and 9,956.25 is: 13,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.59 : 24,163.86 = 9,956.25 : x
  2. Step 2: Convert to fraction form
    17,509.59/24,163.86 = 9,956.25/x
  3. Step 3: Cross multiply
    17,509.59x = 24,163.86 × 9,956.25
  4. Step 4: Simplify right side
    17,509.59x = 240,581,431.13
  5. Step 5: Solve for x
    x = 240,581,431.13/17,509.59
  6. Step 6: Final answer
    x = 13,739.98

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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.