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Finding the Fourth Proportional to 16,504.32, 22,768.59 and 9,790.23

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Solution

The fourth proportional to 16,504.32, 22,768.59 and 9,790.23 is: 13,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,504.32 : 22,768.59 = 9,790.23 : x
  2. Step 2: Convert to fraction form
    16,504.32/22,768.59 = 9,790.23/x
  3. Step 3: Cross multiply
    16,504.32x = 22,768.59 × 9,790.23
  4. Step 4: Simplify right side
    16,504.32x = 222,909,732.88
  5. Step 5: Solve for x
    x = 222,909,732.88/16,504.32
  6. Step 6: Final answer
    x = 13,506.14

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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.