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Finding the Fourth Proportional to 13,933, 20,899.50 and 4,699

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Solution

The fourth proportional to 13,933, 20,899.50 and 4,699 is: 7,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,933 : 20,899.50 = 4,699 : x
  2. Step 2: Convert to fraction form
    13,933/20,899.50 = 4,699/x
  3. Step 3: Cross multiply
    13,933x = 20,899.50 × 4,699
  4. Step 4: Simplify right side
    13,933x = 98,206,750.50
  5. Step 5: Solve for x
    x = 98,206,750.50/13,933
  6. Step 6: Final answer
    x = 7,048.50

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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.