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Finding the Fourth Proportional to 14,489.60, 21,741.72 and 6,704

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Solution

The fourth proportional to 14,489.60, 21,741.72 and 6,704 is: 10,059.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.60 : 21,741.72 = 6,704 : x
  2. Step 2: Convert to fraction form
    14,489.60/21,741.72 = 6,704/x
  3. Step 3: Cross multiply
    14,489.60x = 21,741.72 × 6,704
  4. Step 4: Simplify right side
    14,489.60x = 145,756,490.88
  5. Step 5: Solve for x
    x = 145,756,490.88/14,489.60
  6. Step 6: Final answer
    x = 10,059.39

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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.