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Finding the Fourth Proportional to 15,474, 23,181.12 and 9,239.01

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Solution

The fourth proportional to 15,474, 23,181.12 and 9,239.01 is: 13,840.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,474 : 23,181.12 = 9,239.01 : x
  2. Step 2: Convert to fraction form
    15,474/23,181.12 = 9,239.01/x
  3. Step 3: Cross multiply
    15,474x = 23,181.12 × 9,239.01
  4. Step 4: Simplify right side
    15,474x = 214,170,599.49
  5. Step 5: Solve for x
    x = 214,170,599.49/15,474
  6. Step 6: Final answer
    x = 13,840.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.