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Finding the Fourth Proportional to 14,604.72, 21,907.40 and 4,744

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Solution

The fourth proportional to 14,604.72, 21,907.40 and 4,744 is: 7,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.72 : 21,907.40 = 4,744 : x
  2. Step 2: Convert to fraction form
    14,604.72/21,907.40 = 4,744/x
  3. Step 3: Cross multiply
    14,604.72x = 21,907.40 × 4,744
  4. Step 4: Simplify right side
    14,604.72x = 103,928,705.60
  5. Step 5: Solve for x
    x = 103,928,705.60/14,604.72
  6. Step 6: Final answer
    x = 7,116.10

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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.