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Finding the Fourth Proportional to 14,305.34, 21,464.20 and 7,736.18

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Solution

The fourth proportional to 14,305.34, 21,464.20 and 7,736.18 is: 11,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.34 : 21,464.20 = 7,736.18 : x
  2. Step 2: Convert to fraction form
    14,305.34/21,464.20 = 7,736.18/x
  3. Step 3: Cross multiply
    14,305.34x = 21,464.20 × 7,736.18
  4. Step 4: Simplify right side
    14,305.34x = 166,050,914.76
  5. Step 5: Solve for x
    x = 166,050,914.76/14,305.34
  6. Step 6: Final answer
    x = 11,607.62

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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.