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Finding the Fourth Proportional to 12,450, 18,672.96 and 5,054.16

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Solution

The fourth proportional to 12,450, 18,672.96 and 5,054.16 is: 7,580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,450 : 18,672.96 = 5,054.16 : x
  2. Step 2: Convert to fraction form
    12,450/18,672.96 = 5,054.16/x
  3. Step 3: Cross multiply
    12,450x = 18,672.96 × 5,054.16
  4. Step 4: Simplify right side
    12,450x = 94,376,127.51
  5. Step 5: Solve for x
    x = 94,376,127.51/12,450
  6. Step 6: Final answer
    x = 7,580.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.