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Finding the Fourth Proportional to 30,384.24, 41,930.11 and 16,954.68

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Solution

The fourth proportional to 30,384.24, 41,930.11 and 16,954.68 is: 23,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,384.24 : 41,930.11 = 16,954.68 : x
  2. Step 2: Convert to fraction form
    30,384.24/41,930.11 = 16,954.68/x
  3. Step 3: Cross multiply
    30,384.24x = 41,930.11 × 16,954.68
  4. Step 4: Simplify right side
    30,384.24x = 710,911,597.41
  5. Step 5: Solve for x
    x = 710,911,597.41/30,384.24
  6. Step 6: Final answer
    x = 23,397.38

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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.