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Finding the Fourth Proportional to 17,464.50, 24,101.13 and 9,506.70

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Solution

The fourth proportional to 17,464.50, 24,101.13 and 9,506.70 is: 13,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,464.50 : 24,101.13 = 9,506.70 : x
  2. Step 2: Convert to fraction form
    17,464.50/24,101.13 = 9,506.70/x
  3. Step 3: Cross multiply
    17,464.50x = 24,101.13 × 9,506.70
  4. Step 4: Simplify right side
    17,464.50x = 229,122,212.57
  5. Step 5: Solve for x
    x = 229,122,212.57/17,464.50
  6. Step 6: Final answer
    x = 13,119.31

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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.