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Finding the Fourth Proportional to 14,421, 21,631.52 and 3,477

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Solution

The fourth proportional to 14,421, 21,631.52 and 3,477 is: 5,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421 : 21,631.52 = 3,477 : x
  2. Step 2: Convert to fraction form
    14,421/21,631.52 = 3,477/x
  3. Step 3: Cross multiply
    14,421x = 21,631.52 × 3,477
  4. Step 4: Simplify right side
    14,421x = 75,212,795.04
  5. Step 5: Solve for x
    x = 75,212,795.04/14,421
  6. Step 6: Final answer
    x = 5,215.50

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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.