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Finding the Fourth Proportional to 14,441.63, 19,929.44 and 7,817.63

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Solution

The fourth proportional to 14,441.63, 19,929.44 and 7,817.63 is: 10,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,441.63 : 19,929.44 = 7,817.63 : x
  2. Step 2: Convert to fraction form
    14,441.63/19,929.44 = 7,817.63/x
  3. Step 3: Cross multiply
    14,441.63x = 19,929.44 × 7,817.63
  4. Step 4: Simplify right side
    14,441.63x = 155,800,907.92
  5. Step 5: Solve for x
    x = 155,800,907.92/14,441.63
  6. Step 6: Final answer
    x = 10,788.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.