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Finding the Fourth Proportional to 16,226.64, 22,392.75 and 8,774.64

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Solution

The fourth proportional to 16,226.64, 22,392.75 and 8,774.64 is: 12,109.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226.64 : 22,392.75 = 8,774.64 : x
  2. Step 2: Convert to fraction form
    16,226.64/22,392.75 = 8,774.64/x
  3. Step 3: Cross multiply
    16,226.64x = 22,392.75 × 8,774.64
  4. Step 4: Simplify right side
    16,226.64x = 196,488,319.86
  5. Step 5: Solve for x
    x = 196,488,319.86/16,226.64
  6. Step 6: Final answer
    x = 12,109.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.