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Finding the Fourth Proportional to 14,919.84, 22,379.76 and 8,342.43

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Solution

The fourth proportional to 14,919.84, 22,379.76 and 8,342.43 is: 12,513.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.84 : 22,379.76 = 8,342.43 : x
  2. Step 2: Convert to fraction form
    14,919.84/22,379.76 = 8,342.43/x
  3. Step 3: Cross multiply
    14,919.84x = 22,379.76 × 8,342.43
  4. Step 4: Simplify right side
    14,919.84x = 186,701,581.22
  5. Step 5: Solve for x
    x = 186,701,581.22/14,919.84
  6. Step 6: Final answer
    x = 12,513.65

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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.