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Finding the Fourth Proportional to 14,182.38, 19,576.08 and 9,704.44

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Solution

The fourth proportional to 14,182.38, 19,576.08 and 9,704.44 is: 13,395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.38 : 19,576.08 = 9,704.44 : x
  2. Step 2: Convert to fraction form
    14,182.38/19,576.08 = 9,704.44/x
  3. Step 3: Cross multiply
    14,182.38x = 19,576.08 × 9,704.44
  4. Step 4: Simplify right side
    14,182.38x = 189,974,893.80
  5. Step 5: Solve for x
    x = 189,974,893.80/14,182.38
  6. Step 6: Final answer
    x = 13,395.13

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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.