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Finding the Fourth Proportional to 16,075, 24,108.16 and 4,385.44

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Solution

The fourth proportional to 16,075, 24,108.16 and 4,385.44 is: 6,576.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075 : 24,108.16 = 4,385.44 : x
  2. Step 2: Convert to fraction form
    16,075/24,108.16 = 4,385.44/x
  3. Step 3: Cross multiply
    16,075x = 24,108.16 × 4,385.44
  4. Step 4: Simplify right side
    16,075x = 105,724,889.19
  5. Step 5: Solve for x
    x = 105,724,889.19/16,075
  6. Step 6: Final answer
    x = 6,576.98

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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.