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Finding the Fourth Proportional to 13,833, 20,749.68 and 4,599

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Solution

The fourth proportional to 13,833, 20,749.68 and 4,599 is: 6,898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833 : 20,749.68 = 4,599 : x
  2. Step 2: Convert to fraction form
    13,833/20,749.68 = 4,599/x
  3. Step 3: Cross multiply
    13,833x = 20,749.68 × 4,599
  4. Step 4: Simplify right side
    13,833x = 95,427,778.32
  5. Step 5: Solve for x
    x = 95,427,778.32/13,833
  6. Step 6: Final answer
    x = 6,898.56

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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.