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Finding the Fourth Proportional to 14,699.84, 22,049.96 and 4,311.80

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Solution

The fourth proportional to 14,699.84, 22,049.96 and 4,311.80 is: 6,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699.84 : 22,049.96 = 4,311.80 : x
  2. Step 2: Convert to fraction form
    14,699.84/22,049.96 = 4,311.80/x
  3. Step 3: Cross multiply
    14,699.84x = 22,049.96 × 4,311.80
  4. Step 4: Simplify right side
    14,699.84x = 95,075,017.53
  5. Step 5: Solve for x
    x = 95,075,017.53/14,699.84
  6. Step 6: Final answer
    x = 6,467.76

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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.