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Finding the Fourth Proportional to 16,380, 24,570 and 5,436

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Solution

The fourth proportional to 16,380, 24,570 and 5,436 is: 8,154

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380 : 24,570 = 5,436 : x
  2. Step 2: Convert to fraction form
    16,380/24,570 = 5,436/x
  3. Step 3: Cross multiply
    16,380x = 24,570 × 5,436
  4. Step 4: Simplify right side
    16,380x = 133,562,520
  5. Step 5: Solve for x
    x = 133,562,520/16,380
  6. Step 6: Final answer
    x = 8,154

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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.