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Finding the Fourth Proportional to 14,419.50, 21,632.75 and 7,022.28

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Solution

The fourth proportional to 14,419.50, 21,632.75 and 7,022.28 is: 10,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.50 : 21,632.75 = 7,022.28 : x
  2. Step 2: Convert to fraction form
    14,419.50/21,632.75 = 7,022.28/x
  3. Step 3: Cross multiply
    14,419.50x = 21,632.75 × 7,022.28
  4. Step 4: Simplify right side
    14,419.50x = 151,911,192.56
  5. Step 5: Solve for x
    x = 151,911,192.56/14,419.50
  6. Step 6: Final answer
    x = 10,535.12

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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.