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Finding the Fourth Proportional to 13,207.62, 19,804.15 and 5,421.90

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Solution

The fourth proportional to 13,207.62, 19,804.15 and 5,421.90 is: 8,129.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.62 : 19,804.15 = 5,421.90 : x
  2. Step 2: Convert to fraction form
    13,207.62/19,804.15 = 5,421.90/x
  3. Step 3: Cross multiply
    13,207.62x = 19,804.15 × 5,421.90
  4. Step 4: Simplify right side
    13,207.62x = 107,376,171.43
  5. Step 5: Solve for x
    x = 107,376,171.43/13,207.62
  6. Step 6: Final answer
    x = 8,129.86

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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.