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Finding the Fourth Proportional to 16,907.16, 25,345.86 and 6,511.80

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Solution

The fourth proportional to 16,907.16, 25,345.86 and 6,511.80 is: 9,761.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,907.16 : 25,345.86 = 6,511.80 : x
  2. Step 2: Convert to fraction form
    16,907.16/25,345.86 = 6,511.80/x
  3. Step 3: Cross multiply
    16,907.16x = 25,345.86 × 6,511.80
  4. Step 4: Simplify right side
    16,907.16x = 165,047,171.15
  5. Step 5: Solve for x
    x = 165,047,171.15/16,907.16
  6. Step 6: Final answer
    x = 9,761.97

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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.