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Finding the Fourth Proportional to 13,010.50, 19,518.21 and 5,219.92

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Solution

The fourth proportional to 13,010.50, 19,518.21 and 5,219.92 is: 7,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.50 : 19,518.21 = 5,219.92 : x
  2. Step 2: Convert to fraction form
    13,010.50/19,518.21 = 5,219.92/x
  3. Step 3: Cross multiply
    13,010.50x = 19,518.21 × 5,219.92
  4. Step 4: Simplify right side
    13,010.50x = 101,883,494.74
  5. Step 5: Solve for x
    x = 101,883,494.74/13,010.50
  6. Step 6: Final answer
    x = 7,830.87

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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.