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Finding the Fourth Proportional to 14,185.76, 19,576.14 and 7,898

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Solution

The fourth proportional to 14,185.76, 19,576.14 and 7,898 is: 10,899.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.76 : 19,576.14 = 7,898 : x
  2. Step 2: Convert to fraction form
    14,185.76/19,576.14 = 7,898/x
  3. Step 3: Cross multiply
    14,185.76x = 19,576.14 × 7,898
  4. Step 4: Simplify right side
    14,185.76x = 154,612,353.72
  5. Step 5: Solve for x
    x = 154,612,353.72/14,185.76
  6. Step 6: Final answer
    x = 10,899.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.