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Finding the Fourth Proportional to 14,713.50, 22,075.68 and 6,819.78

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Solution

The fourth proportional to 14,713.50, 22,075.68 and 6,819.78 is: 10,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,713.50 : 22,075.68 = 6,819.78 : x
  2. Step 2: Convert to fraction form
    14,713.50/22,075.68 = 6,819.78/x
  3. Step 3: Cross multiply
    14,713.50x = 22,075.68 × 6,819.78
  4. Step 4: Simplify right side
    14,713.50x = 150,551,280.95
  5. Step 5: Solve for x
    x = 150,551,280.95/14,713.50
  6. Step 6: Final answer
    x = 10,232.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.