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Finding the Fourth Proportional to 16,084.10, 24,124.99 and 4,990.50

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Solution

The fourth proportional to 16,084.10, 24,124.99 and 4,990.50 is: 7,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.10 : 24,124.99 = 4,990.50 : x
  2. Step 2: Convert to fraction form
    16,084.10/24,124.99 = 4,990.50/x
  3. Step 3: Cross multiply
    16,084.10x = 24,124.99 × 4,990.50
  4. Step 4: Simplify right side
    16,084.10x = 120,395,762.60
  5. Step 5: Solve for x
    x = 120,395,762.60/16,084.10
  6. Step 6: Final answer
    x = 7,485.39

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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.