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Finding the Fourth Proportional to 16,805.67, 25,218.32 and 6,282.93

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Solution

The fourth proportional to 16,805.67, 25,218.32 and 6,282.93 is: 9,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.67 : 25,218.32 = 6,282.93 : x
  2. Step 2: Convert to fraction form
    16,805.67/25,218.32 = 6,282.93/x
  3. Step 3: Cross multiply
    16,805.67x = 25,218.32 × 6,282.93
  4. Step 4: Simplify right side
    16,805.67x = 158,444,907.86
  5. Step 5: Solve for x
    x = 158,444,907.86/16,805.67
  6. Step 6: Final answer
    x = 9,428.06

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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.