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Finding the Fourth Proportional to 16,336.98, 24,494.94 and 6,983.10

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Solution

The fourth proportional to 16,336.98, 24,494.94 and 6,983.10 is: 10,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,336.98 : 24,494.94 = 6,983.10 : x
  2. Step 2: Convert to fraction form
    16,336.98/24,494.94 = 6,983.10/x
  3. Step 3: Cross multiply
    16,336.98x = 24,494.94 × 6,983.10
  4. Step 4: Simplify right side
    16,336.98x = 171,050,615.51
  5. Step 5: Solve for x
    x = 171,050,615.51/16,336.98
  6. Step 6: Final answer
    x = 10,470.15

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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.