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Finding the Fourth Proportional to 17,013, 23,500.24 and 11,698.58

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Solution

The fourth proportional to 17,013, 23,500.24 and 11,698.58 is: 16,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,013 : 23,500.24 = 11,698.58 : x
  2. Step 2: Convert to fraction form
    17,013/23,500.24 = 11,698.58/x
  3. Step 3: Cross multiply
    17,013x = 23,500.24 × 11,698.58
  4. Step 4: Simplify right side
    17,013x = 274,919,437.66
  5. Step 5: Solve for x
    x = 274,919,437.66/17,013
  6. Step 6: Final answer
    x = 16,159.37

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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.