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Finding the Fourth Proportional to 16,144.64, 24,216.96 and 8,894.72

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Solution

The fourth proportional to 16,144.64, 24,216.96 and 8,894.72 is: 13,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.64 : 24,216.96 = 8,894.72 : x
  2. Step 2: Convert to fraction form
    16,144.64/24,216.96 = 8,894.72/x
  3. Step 3: Cross multiply
    16,144.64x = 24,216.96 × 8,894.72
  4. Step 4: Simplify right side
    16,144.64x = 215,403,078.45
  5. Step 5: Solve for x
    x = 215,403,078.45/16,144.64
  6. Step 6: Final answer
    x = 13,342.08

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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.