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Finding the Fourth Proportional to 24,415.74, 36,558 and 20,085.48

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Solution

The fourth proportional to 24,415.74, 36,558 and 20,085.48 is: 30,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415.74 : 36,558 = 20,085.48 : x
  2. Step 2: Convert to fraction form
    24,415.74/36,558 = 20,085.48/x
  3. Step 3: Cross multiply
    24,415.74x = 36,558 × 20,085.48
  4. Step 4: Simplify right side
    24,415.74x = 734,284,977.84
  5. Step 5: Solve for x
    x = 734,284,977.84/24,415.74
  6. Step 6: Final answer
    x = 30,074.25

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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.