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Finding the Fourth Proportional to 16,307.30, 22,504.56 and 9,233.54

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Solution

The fourth proportional to 16,307.30, 22,504.56 and 9,233.54 is: 12,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.30 : 22,504.56 = 9,233.54 : x
  2. Step 2: Convert to fraction form
    16,307.30/22,504.56 = 9,233.54/x
  3. Step 3: Cross multiply
    16,307.30x = 22,504.56 × 9,233.54
  4. Step 4: Simplify right side
    16,307.30x = 207,796,754.94
  5. Step 5: Solve for x
    x = 207,796,754.94/16,307.30
  6. Step 6: Final answer
    x = 12,742.56

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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.