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Finding the Fourth Proportional to 14,419, 21,628.52 and 3,475

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Solution

The fourth proportional to 14,419, 21,628.52 and 3,475 is: 5,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419 : 21,628.52 = 3,475 : x
  2. Step 2: Convert to fraction form
    14,419/21,628.52 = 3,475/x
  3. Step 3: Cross multiply
    14,419x = 21,628.52 × 3,475
  4. Step 4: Simplify right side
    14,419x = 75,159,107
  5. Step 5: Solve for x
    x = 75,159,107/14,419
  6. Step 6: Final answer
    x = 5,212.50

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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.