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Finding the Fourth Proportional to 16,325.56, 22,528.83 and 9,252.64

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Solution

The fourth proportional to 16,325.56, 22,528.83 and 9,252.64 is: 12,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,325.56 : 22,528.83 = 9,252.64 : x
  2. Step 2: Convert to fraction form
    16,325.56/22,528.83 = 9,252.64/x
  3. Step 3: Cross multiply
    16,325.56x = 22,528.83 × 9,252.64
  4. Step 4: Simplify right side
    16,325.56x = 208,451,153.61
  5. Step 5: Solve for x
    x = 208,451,153.61/16,325.56
  6. Step 6: Final answer
    x = 12,768.39

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Why These Related Problems?

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