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Finding the Fourth Proportional to 10,676.41, 15,993.18 and 9,804.45

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Solution

The fourth proportional to 10,676.41, 15,993.18 and 9,804.45 is: 14,686.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.41 : 15,993.18 = 9,804.45 : x
  2. Step 2: Convert to fraction form
    10,676.41/15,993.18 = 9,804.45/x
  3. Step 3: Cross multiply
    10,676.41x = 15,993.18 × 9,804.45
  4. Step 4: Simplify right side
    10,676.41x = 156,804,333.65
  5. Step 5: Solve for x
    x = 156,804,333.65/10,676.41
  6. Step 6: Final answer
    x = 14,686.99

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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.