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Finding the Fourth Proportional to 16,336.08, 24,504 and 4,649.28

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Solution

The fourth proportional to 16,336.08, 24,504 and 4,649.28 is: 6,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,336.08 : 24,504 = 4,649.28 : x
  2. Step 2: Convert to fraction form
    16,336.08/24,504 = 4,649.28/x
  3. Step 3: Cross multiply
    16,336.08x = 24,504 × 4,649.28
  4. Step 4: Simplify right side
    16,336.08x = 113,925,957.12
  5. Step 5: Solve for x
    x = 113,925,957.12/16,336.08
  6. Step 6: Final answer
    x = 6,973.89

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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.