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Finding the Fourth Proportional to 16,075, 24,105.74 and 6,078.07

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Solution

The fourth proportional to 16,075, 24,105.74 and 6,078.07 is: 9,114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075 : 24,105.74 = 6,078.07 : x
  2. Step 2: Convert to fraction form
    16,075/24,105.74 = 6,078.07/x
  3. Step 3: Cross multiply
    16,075x = 24,105.74 × 6,078.07
  4. Step 4: Simplify right side
    16,075x = 146,516,254.59
  5. Step 5: Solve for x
    x = 146,516,254.59/16,075
  6. Step 6: Final answer
    x = 9,114.54

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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.