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Finding the Fourth Proportional to 13,349, 20,023.50 and 6,053

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Solution

The fourth proportional to 13,349, 20,023.50 and 6,053 is: 9,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349 : 20,023.50 = 6,053 : x
  2. Step 2: Convert to fraction form
    13,349/20,023.50 = 6,053/x
  3. Step 3: Cross multiply
    13,349x = 20,023.50 × 6,053
  4. Step 4: Simplify right side
    13,349x = 121,202,245.50
  5. Step 5: Solve for x
    x = 121,202,245.50/13,349
  6. Step 6: Final answer
    x = 9,079.50

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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.