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Finding the Fourth Proportional to 15,446.59, 23,163 and 4,914.64

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Solution

The fourth proportional to 15,446.59, 23,163 and 4,914.64 is: 7,369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,446.59 : 23,163 = 4,914.64 : x
  2. Step 2: Convert to fraction form
    15,446.59/23,163 = 4,914.64/x
  3. Step 3: Cross multiply
    15,446.59x = 23,163 × 4,914.64
  4. Step 4: Simplify right side
    15,446.59x = 113,837,806.32
  5. Step 5: Solve for x
    x = 113,837,806.32/15,446.59
  6. Step 6: Final answer
    x = 7,369.77

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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.