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Finding the Fourth Proportional to 19,232.84, 28,800.26 and 16,280.39

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Solution

The fourth proportional to 19,232.84, 28,800.26 and 16,280.39 is: 24,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,232.84 : 28,800.26 = 16,280.39 : x
  2. Step 2: Convert to fraction form
    19,232.84/28,800.26 = 16,280.39/x
  3. Step 3: Cross multiply
    19,232.84x = 28,800.26 × 16,280.39
  4. Step 4: Simplify right side
    19,232.84x = 468,879,383.50
  5. Step 5: Solve for x
    x = 468,879,383.50/19,232.84
  6. Step 6: Final answer
    x = 24,379.10

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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.