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Finding the Fourth Proportional to 16,400.80, 22,631.76 and 9,325.60

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Solution

The fourth proportional to 16,400.80, 22,631.76 and 9,325.60 is: 12,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.80 : 22,631.76 = 9,325.60 : x
  2. Step 2: Convert to fraction form
    16,400.80/22,631.76 = 9,325.60/x
  3. Step 3: Cross multiply
    16,400.80x = 22,631.76 × 9,325.60
  4. Step 4: Simplify right side
    16,400.80x = 211,054,741.06
  5. Step 5: Solve for x
    x = 211,054,741.06/16,400.80
  6. Step 6: Final answer
    x = 12,868.56

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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.