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Finding the Fourth Proportional to 12,544, 18,824.66 and 4,336

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Solution

The fourth proportional to 12,544, 18,824.66 and 4,336 is: 6,506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,544 : 18,824.66 = 4,336 : x
  2. Step 2: Convert to fraction form
    12,544/18,824.66 = 4,336/x
  3. Step 3: Cross multiply
    12,544x = 18,824.66 × 4,336
  4. Step 4: Simplify right side
    12,544x = 81,623,725.76
  5. Step 5: Solve for x
    x = 81,623,725.76/12,544
  6. Step 6: Final answer
    x = 6,506.99

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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.