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Finding the Fourth Proportional to 12,549, 18,823.86 and 3,315

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Solution

The fourth proportional to 12,549, 18,823.86 and 3,315 is: 4,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,549 : 18,823.86 = 3,315 : x
  2. Step 2: Convert to fraction form
    12,549/18,823.86 = 3,315/x
  3. Step 3: Cross multiply
    12,549x = 18,823.86 × 3,315
  4. Step 4: Simplify right side
    12,549x = 62,401,095.90
  5. Step 5: Solve for x
    x = 62,401,095.90/12,549
  6. Step 6: Final answer
    x = 4,972.60

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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.