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Finding the Fourth Proportional to 12,684, 19,026.06 and 4,476

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Solution

The fourth proportional to 12,684, 19,026.06 and 4,476 is: 6,714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684 : 19,026.06 = 4,476 : x
  2. Step 2: Convert to fraction form
    12,684/19,026.06 = 4,476/x
  3. Step 3: Cross multiply
    12,684x = 19,026.06 × 4,476
  4. Step 4: Simplify right side
    12,684x = 85,160,644.56
  5. Step 5: Solve for x
    x = 85,160,644.56/12,684
  6. Step 6: Final answer
    x = 6,714.02

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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.