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Finding the Fourth Proportional to 14,905.68, 20,569.74 and 8,191.38

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Solution

The fourth proportional to 14,905.68, 20,569.74 and 8,191.38 is: 11,304.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905.68 : 20,569.74 = 8,191.38 : x
  2. Step 2: Convert to fraction form
    14,905.68/20,569.74 = 8,191.38/x
  3. Step 3: Cross multiply
    14,905.68x = 20,569.74 × 8,191.38
  4. Step 4: Simplify right side
    14,905.68x = 168,494,556.84
  5. Step 5: Solve for x
    x = 168,494,556.84/14,905.68
  6. Step 6: Final answer
    x = 11,304.05

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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.