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Finding the Fourth Proportional to 16,384.98, 24,556.95 and 7,013.97

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Solution

The fourth proportional to 16,384.98, 24,556.95 and 7,013.97 is: 10,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.98 : 24,556.95 = 7,013.97 : x
  2. Step 2: Convert to fraction form
    16,384.98/24,556.95 = 7,013.97/x
  3. Step 3: Cross multiply
    16,384.98x = 24,556.95 × 7,013.97
  4. Step 4: Simplify right side
    16,384.98x = 172,241,710.59
  5. Step 5: Solve for x
    x = 172,241,710.59/16,384.98
  6. Step 6: Final answer
    x = 10,512.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.