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Finding the Fourth Proportional to 17,365, 23,964.18 and 9,811.65

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Solution

The fourth proportional to 17,365, 23,964.18 and 9,811.65 is: 13,540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,365 : 23,964.18 = 9,811.65 : x
  2. Step 2: Convert to fraction form
    17,365/23,964.18 = 9,811.65/x
  3. Step 3: Cross multiply
    17,365x = 23,964.18 × 9,811.65
  4. Step 4: Simplify right side
    17,365x = 235,128,146.70
  5. Step 5: Solve for x
    x = 235,128,146.70/17,365
  6. Step 6: Final answer
    x = 13,540.35

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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.