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Finding the Fourth Proportional to 14,643.60, 21,949.62 and 6,327.54

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Solution

The fourth proportional to 14,643.60, 21,949.62 and 6,327.54 is: 9,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.60 : 21,949.62 = 6,327.54 : x
  2. Step 2: Convert to fraction form
    14,643.60/21,949.62 = 6,327.54/x
  3. Step 3: Cross multiply
    14,643.60x = 21,949.62 × 6,327.54
  4. Step 4: Simplify right side
    14,643.60x = 138,887,098.53
  5. Step 5: Solve for x
    x = 138,887,098.53/14,643.60
  6. Step 6: Final answer
    x = 9,484.49

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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.