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Finding the Fourth Proportional to 16,064.64, 22,168.47 and 8,894.83

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Solution

The fourth proportional to 16,064.64, 22,168.47 and 8,894.83 is: 12,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064.64 : 22,168.47 = 8,894.83 : x
  2. Step 2: Convert to fraction form
    16,064.64/22,168.47 = 8,894.83/x
  3. Step 3: Cross multiply
    16,064.64x = 22,168.47 × 8,894.83
  4. Step 4: Simplify right side
    16,064.64x = 197,184,772.01
  5. Step 5: Solve for x
    x = 197,184,772.01/16,064.64
  6. Step 6: Final answer
    x = 12,274.46

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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.