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Finding the Fourth Proportional to 16,400.25, 24,604.53 and 4,713.48

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Solution

The fourth proportional to 16,400.25, 24,604.53 and 4,713.48 is: 7,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.25 : 24,604.53 = 4,713.48 : x
  2. Step 2: Convert to fraction form
    16,400.25/24,604.53 = 4,713.48/x
  3. Step 3: Cross multiply
    16,400.25x = 24,604.53 × 4,713.48
  4. Step 4: Simplify right side
    16,400.25x = 115,972,960.06
  5. Step 5: Solve for x
    x = 115,972,960.06/16,400.25
  6. Step 6: Final answer
    x = 7,071.41

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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.