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Finding the Fourth Proportional to 14,284.39, 19,722.20 and 8,908.92

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Solution

The fourth proportional to 14,284.39, 19,722.20 and 8,908.92 is: 12,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.39 : 19,722.20 = 8,908.92 : x
  2. Step 2: Convert to fraction form
    14,284.39/19,722.20 = 8,908.92/x
  3. Step 3: Cross multiply
    14,284.39x = 19,722.20 × 8,908.92
  4. Step 4: Simplify right side
    14,284.39x = 175,703,502.02
  5. Step 5: Solve for x
    x = 175,703,502.02/14,284.39
  6. Step 6: Final answer
    x = 12,300.39

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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.