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Finding the Fourth Proportional to 17,137.44, 23,649.50 and 9,583.68

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Solution

The fourth proportional to 17,137.44, 23,649.50 and 9,583.68 is: 13,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,137.44 : 23,649.50 = 9,583.68 : x
  2. Step 2: Convert to fraction form
    17,137.44/23,649.50 = 9,583.68/x
  3. Step 3: Cross multiply
    17,137.44x = 23,649.50 × 9,583.68
  4. Step 4: Simplify right side
    17,137.44x = 226,649,264.12
  5. Step 5: Solve for x
    x = 226,649,264.12/17,137.44
  6. Step 6: Final answer
    x = 13,225.39

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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.