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Finding the Fourth Proportional to 13,000.62, 19,498.86 and 3,639.63

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Solution

The fourth proportional to 13,000.62, 19,498.86 and 3,639.63 is: 5,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.62 : 19,498.86 = 3,639.63 : x
  2. Step 2: Convert to fraction form
    13,000.62/19,498.86 = 3,639.63/x
  3. Step 3: Cross multiply
    13,000.62x = 19,498.86 × 3,639.63
  4. Step 4: Simplify right side
    13,000.62x = 70,968,635.82
  5. Step 5: Solve for x
    x = 70,968,635.82/13,000.62
  6. Step 6: Final answer
    x = 5,458.87

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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.