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Finding the Fourth Proportional to 14,419.43, 19,894.15 and 8,044.98

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Solution

The fourth proportional to 14,419.43, 19,894.15 and 8,044.98 is: 11,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.43 : 19,894.15 = 8,044.98 : x
  2. Step 2: Convert to fraction form
    14,419.43/19,894.15 = 8,044.98/x
  3. Step 3: Cross multiply
    14,419.43x = 19,894.15 × 8,044.98
  4. Step 4: Simplify right side
    14,419.43x = 160,048,093.36
  5. Step 5: Solve for x
    x = 160,048,093.36/14,419.43
  6. Step 6: Final answer
    x = 11,099.48

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1.5x scale

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.