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Finding the Fourth Proportional to 14,185.69, 19,576.86 and 7,898.06

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Solution

The fourth proportional to 14,185.69, 19,576.86 and 7,898.06 is: 10,899.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.69 : 19,576.86 = 7,898.06 : x
  2. Step 2: Convert to fraction form
    14,185.69/19,576.86 = 7,898.06/x
  3. Step 3: Cross multiply
    14,185.69x = 19,576.86 × 7,898.06
  4. Step 4: Simplify right side
    14,185.69x = 154,619,234.22
  5. Step 5: Solve for x
    x = 154,619,234.22/14,185.69
  6. Step 6: Final answer
    x = 10,899.66

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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.