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Finding the Fourth Proportional to 12,219.50, 18,329.26 and 4,428.32

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Solution

The fourth proportional to 12,219.50, 18,329.26 and 4,428.32 is: 6,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.50 : 18,329.26 = 4,428.32 : x
  2. Step 2: Convert to fraction form
    12,219.50/18,329.26 = 4,428.32/x
  3. Step 3: Cross multiply
    12,219.50x = 18,329.26 × 4,428.32
  4. Step 4: Simplify right side
    12,219.50x = 81,167,828.64
  5. Step 5: Solve for x
    x = 81,167,828.64/12,219.50
  6. Step 6: Final answer
    x = 6,642.48

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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.