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Finding the Fourth Proportional to 24,226.64, 36,346.44 and 8,645.12

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Solution

The fourth proportional to 24,226.64, 36,346.44 and 8,645.12 is: 12,969.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,226.64 : 36,346.44 = 8,645.12 : x
  2. Step 2: Convert to fraction form
    24,226.64/36,346.44 = 8,645.12/x
  3. Step 3: Cross multiply
    24,226.64x = 36,346.44 × 8,645.12
  4. Step 4: Simplify right side
    24,226.64x = 314,219,335.37
  5. Step 5: Solve for x
    x = 314,219,335.37/24,226.64
  6. Step 6: Final answer
    x = 12,969.99

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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.