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Finding the Fourth Proportional to 12,698.10, 19,049.36 and 5,307.73

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Solution

The fourth proportional to 12,698.10, 19,049.36 and 5,307.73 is: 7,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.10 : 19,049.36 = 5,307.73 : x
  2. Step 2: Convert to fraction form
    12,698.10/19,049.36 = 5,307.73/x
  3. Step 3: Cross multiply
    12,698.10x = 19,049.36 × 5,307.73
  4. Step 4: Simplify right side
    12,698.10x = 101,108,785.39
  5. Step 5: Solve for x
    x = 101,108,785.39/12,698.10
  6. Step 6: Final answer
    x = 7,962.51

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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.