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Finding the Fourth Proportional to 16,483.88, 24,725.59 and 4,004

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Solution

The fourth proportional to 16,483.88, 24,725.59 and 4,004 is: 6,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.88 : 24,725.59 = 4,004 : x
  2. Step 2: Convert to fraction form
    16,483.88/24,725.59 = 4,004/x
  3. Step 3: Cross multiply
    16,483.88x = 24,725.59 × 4,004
  4. Step 4: Simplify right side
    16,483.88x = 99,001,262.36
  5. Step 5: Solve for x
    x = 99,001,262.36/16,483.88
  6. Step 6: Final answer
    x = 6,005.94

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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.