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Finding the Fourth Proportional to 24,205.64, 36,313.90 and 9,414.60

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Solution

The fourth proportional to 24,205.64, 36,313.90 and 9,414.60 is: 14,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.64 : 36,313.90 = 9,414.60 : x
  2. Step 2: Convert to fraction form
    24,205.64/36,313.90 = 9,414.60/x
  3. Step 3: Cross multiply
    24,205.64x = 36,313.90 × 9,414.60
  4. Step 4: Simplify right side
    24,205.64x = 341,880,842.94
  5. Step 5: Solve for x
    x = 341,880,842.94/24,205.64
  6. Step 6: Final answer
    x = 14,124.02

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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.