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Finding the Fourth Proportional to 24,049.80, 36,075.51 and 7,409.70

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Solution

The fourth proportional to 24,049.80, 36,075.51 and 7,409.70 is: 11,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,049.80 : 36,075.51 = 7,409.70 : x
  2. Step 2: Convert to fraction form
    24,049.80/36,075.51 = 7,409.70/x
  3. Step 3: Cross multiply
    24,049.80x = 36,075.51 × 7,409.70
  4. Step 4: Simplify right side
    24,049.80x = 267,308,706.45
  5. Step 5: Solve for x
    x = 267,308,706.45/24,049.80
  6. Step 6: Final answer
    x = 11,114.80

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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.