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Finding the Fourth Proportional to 16,983.54, 25,465.50 and 6,583.14

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Solution

The fourth proportional to 16,983.54, 25,465.50 and 6,583.14 is: 9,870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,983.54 : 25,465.50 = 6,583.14 : x
  2. Step 2: Convert to fraction form
    16,983.54/25,465.50 = 6,583.14/x
  3. Step 3: Cross multiply
    16,983.54x = 25,465.50 × 6,583.14
  4. Step 4: Simplify right side
    16,983.54x = 167,642,951.67
  5. Step 5: Solve for x
    x = 167,642,951.67/16,983.54
  6. Step 6: Final answer
    x = 9,870.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.