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Finding the Fourth Proportional to 13,318.26, 19,978.50 and 3,830.62

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Solution

The fourth proportional to 13,318.26, 19,978.50 and 3,830.62 is: 5,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,318.26 : 19,978.50 = 3,830.62 : x
  2. Step 2: Convert to fraction form
    13,318.26/19,978.50 = 3,830.62/x
  3. Step 3: Cross multiply
    13,318.26x = 19,978.50 × 3,830.62
  4. Step 4: Simplify right side
    13,318.26x = 76,530,041.67
  5. Step 5: Solve for x
    x = 76,530,041.67/13,318.26
  6. Step 6: Final answer
    x = 5,746.25

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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.