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Finding the Fourth Proportional to 16,483.36, 24,725.36 and 5,390

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Solution

The fourth proportional to 16,483.36, 24,725.36 and 5,390 is: 8,085.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.36 : 24,725.36 = 5,390 : x
  2. Step 2: Convert to fraction form
    16,483.36/24,725.36 = 5,390/x
  3. Step 3: Cross multiply
    16,483.36x = 24,725.36 × 5,390
  4. Step 4: Simplify right side
    16,483.36x = 133,269,690.40
  5. Step 5: Solve for x
    x = 133,269,690.40/16,483.36
  6. Step 6: Final answer
    x = 8,085.10

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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.