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Finding the Fourth Proportional to 14,740.81, 20,342.19 and 8,026.42

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Solution

The fourth proportional to 14,740.81, 20,342.19 and 8,026.42 is: 11,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,740.81 : 20,342.19 = 8,026.42 : x
  2. Step 2: Convert to fraction form
    14,740.81/20,342.19 = 8,026.42/x
  3. Step 3: Cross multiply
    14,740.81x = 20,342.19 × 8,026.42
  4. Step 4: Simplify right side
    14,740.81x = 163,274,960.66
  5. Step 5: Solve for x
    x = 163,274,960.66/14,740.81
  6. Step 6: Final answer
    x = 11,076.39

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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.