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Finding the Fourth Proportional to 14,401, 21,603.66 and 5,043.52

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Solution

The fourth proportional to 14,401, 21,603.66 and 5,043.52 is: 7,566.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,401 : 21,603.66 = 5,043.52 : x
  2. Step 2: Convert to fraction form
    14,401/21,603.66 = 5,043.52/x
  3. Step 3: Cross multiply
    14,401x = 21,603.66 × 5,043.52
  4. Step 4: Simplify right side
    14,401x = 108,958,491.28
  5. Step 5: Solve for x
    x = 108,958,491.28/14,401
  6. Step 6: Final answer
    x = 7,566.04

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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.