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Finding the Fourth Proportional to 24,075, 36,112.38 and 6,544.77

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Solution

The fourth proportional to 24,075, 36,112.38 and 6,544.77 is: 9,817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,075 : 36,112.38 = 6,544.77 : x
  2. Step 2: Convert to fraction form
    24,075/36,112.38 = 6,544.77/x
  3. Step 3: Cross multiply
    24,075x = 36,112.38 × 6,544.77
  4. Step 4: Simplify right side
    24,075x = 236,347,221.25
  5. Step 5: Solve for x
    x = 236,347,221.25/24,075
  6. Step 6: Final answer
    x = 9,817.12

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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.