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Finding the Fourth Proportional to 14,573.82, 20,106.83 and 8,199.39

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Solution

The fourth proportional to 14,573.82, 20,106.83 and 8,199.39 is: 11,312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573.82 : 20,106.83 = 8,199.39 : x
  2. Step 2: Convert to fraction form
    14,573.82/20,106.83 = 8,199.39/x
  3. Step 3: Cross multiply
    14,573.82x = 20,106.83 × 8,199.39
  4. Step 4: Simplify right side
    14,573.82x = 164,863,740.83
  5. Step 5: Solve for x
    x = 164,863,740.83/14,573.82
  6. Step 6: Final answer
    x = 11,312.32

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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.