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Finding the Fourth Proportional to 14,419, 19,898.22 and 8,830

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Solution

The fourth proportional to 14,419, 19,898.22 and 8,830 is: 12,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419 : 19,898.22 = 8,830 : x
  2. Step 2: Convert to fraction form
    14,419/19,898.22 = 8,830/x
  3. Step 3: Cross multiply
    14,419x = 19,898.22 × 8,830
  4. Step 4: Simplify right side
    14,419x = 175,701,282.60
  5. Step 5: Solve for x
    x = 175,701,282.60/14,419
  6. Step 6: Final answer
    x = 12,185.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.