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Finding the Fourth Proportional to 15,745, 23,621.34 and 4,801

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Solution

The fourth proportional to 15,745, 23,621.34 and 4,801 is: 7,202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745 : 23,621.34 = 4,801 : x
  2. Step 2: Convert to fraction form
    15,745/23,621.34 = 4,801/x
  3. Step 3: Cross multiply
    15,745x = 23,621.34 × 4,801
  4. Step 4: Simplify right side
    15,745x = 113,406,053.34
  5. Step 5: Solve for x
    x = 113,406,053.34/15,745
  6. Step 6: Final answer
    x = 7,202.67

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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.