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Finding the Fourth Proportional to 14,623, 21,923.52 and 4,756.44

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Solution

The fourth proportional to 14,623, 21,923.52 and 4,756.44 is: 7,131.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,623 : 21,923.52 = 4,756.44 : x
  2. Step 2: Convert to fraction form
    14,623/21,923.52 = 4,756.44/x
  3. Step 3: Cross multiply
    14,623x = 21,923.52 × 4,756.44
  4. Step 4: Simplify right side
    14,623x = 104,277,907.47
  5. Step 5: Solve for x
    x = 104,277,907.47/14,623
  6. Step 6: Final answer
    x = 7,131.09

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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.