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Finding the Fourth Proportional to 17,722, 24,459.90 and 10,173.44

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Solution

The fourth proportional to 17,722, 24,459.90 and 10,173.44 is: 14,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722 : 24,459.90 = 10,173.44 : x
  2. Step 2: Convert to fraction form
    17,722/24,459.90 = 10,173.44/x
  3. Step 3: Cross multiply
    17,722x = 24,459.90 × 10,173.44
  4. Step 4: Simplify right side
    17,722x = 248,841,325.06
  5. Step 5: Solve for x
    x = 248,841,325.06/17,722
  6. Step 6: Final answer
    x = 14,041.38

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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.