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Finding the Fourth Proportional to 12,476, 18,718.86 and 4,685.42

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Solution

The fourth proportional to 12,476, 18,718.86 and 4,685.42 is: 7,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476 : 18,718.86 = 4,685.42 : x
  2. Step 2: Convert to fraction form
    12,476/18,718.86 = 4,685.42/x
  3. Step 3: Cross multiply
    12,476x = 18,718.86 × 4,685.42
  4. Step 4: Simplify right side
    12,476x = 87,705,721.02
  5. Step 5: Solve for x
    x = 87,705,721.02/12,476
  6. Step 6: Final answer
    x = 7,029.96

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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.