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Finding the Fourth Proportional to 12,215.20, 18,322.80 and 4,423

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Solution

The fourth proportional to 12,215.20, 18,322.80 and 4,423 is: 6,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.20 : 18,322.80 = 4,423 : x
  2. Step 2: Convert to fraction form
    12,215.20/18,322.80 = 4,423/x
  3. Step 3: Cross multiply
    12,215.20x = 18,322.80 × 4,423
  4. Step 4: Simplify right side
    12,215.20x = 81,041,744.40
  5. Step 5: Solve for x
    x = 81,041,744.40/12,215.20
  6. Step 6: Final answer
    x = 6,634.50

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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.