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Finding the Fourth Proportional to 17,406.85, 24,021.48 and 9,449.08

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Solution

The fourth proportional to 17,406.85, 24,021.48 and 9,449.08 is: 13,039.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.85 : 24,021.48 = 9,449.08 : x
  2. Step 2: Convert to fraction form
    17,406.85/24,021.48 = 9,449.08/x
  3. Step 3: Cross multiply
    17,406.85x = 24,021.48 × 9,449.08
  4. Step 4: Simplify right side
    17,406.85x = 226,980,826.18
  5. Step 5: Solve for x
    x = 226,980,826.18/17,406.85
  6. Step 6: Final answer
    x = 13,039.74

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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.