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Finding the Fourth Proportional to 12,215.70, 18,312.48 and 4,419

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Solution

The fourth proportional to 12,215.70, 18,312.48 and 4,419 is: 6,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,215.70 : 18,312.48 = 4,419 : x
  2. Step 2: Convert to fraction form
    12,215.70/18,312.48 = 4,419/x
  3. Step 3: Cross multiply
    12,215.70x = 18,312.48 × 4,419
  4. Step 4: Simplify right side
    12,215.70x = 80,922,849.12
  5. Step 5: Solve for x
    x = 80,922,849.12/12,215.70
  6. Step 6: Final answer
    x = 6,624.50

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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.