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Finding the Fourth Proportional to 24,047.37, 36,075 and 7,407.41

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Solution

The fourth proportional to 24,047.37, 36,075 and 7,407.41 is: 11,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,047.37 : 36,075 = 7,407.41 : x
  2. Step 2: Convert to fraction form
    24,047.37/36,075 = 7,407.41/x
  3. Step 3: Cross multiply
    24,047.37x = 36,075 × 7,407.41
  4. Step 4: Simplify right side
    24,047.37x = 267,222,135.38
  5. Step 5: Solve for x
    x = 267,222,135.38/24,047.37
  6. Step 6: Final answer
    x = 11,112.32

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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.