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Finding the Fourth Proportional to 14,317.20, 21,464.52 and 6,919.68

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Solution

The fourth proportional to 14,317.20, 21,464.52 and 6,919.68 is: 10,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,317.20 : 21,464.52 = 6,919.68 : x
  2. Step 2: Convert to fraction form
    14,317.20/21,464.52 = 6,919.68/x
  3. Step 3: Cross multiply
    14,317.20x = 21,464.52 × 6,919.68
  4. Step 4: Simplify right side
    14,317.20x = 148,527,609.75
  5. Step 5: Solve for x
    x = 148,527,609.75/14,317.20
  6. Step 6: Final answer
    x = 10,374.07

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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.