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Finding the Fourth Proportional to 19,176, 28,764 and 8,232

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Solution

The fourth proportional to 19,176, 28,764 and 8,232 is: 12,348

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,176 : 28,764 = 8,232 : x
  2. Step 2: Convert to fraction form
    19,176/28,764 = 8,232/x
  3. Step 3: Cross multiply
    19,176x = 28,764 × 8,232
  4. Step 4: Simplify right side
    19,176x = 236,785,248
  5. Step 5: Solve for x
    x = 236,785,248/19,176
  6. Step 6: Final answer
    x = 12,348

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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.