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Finding the Fourth Proportional to 12,949.76, 19,415.28 and 4,179.68

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Solution

The fourth proportional to 12,949.76, 19,415.28 and 4,179.68 is: 6,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,949.76 : 19,415.28 = 4,179.68 : x
  2. Step 2: Convert to fraction form
    12,949.76/19,415.28 = 4,179.68/x
  3. Step 3: Cross multiply
    12,949.76x = 19,415.28 × 4,179.68
  4. Step 4: Simplify right side
    12,949.76x = 81,149,657.51
  5. Step 5: Solve for x
    x = 81,149,657.51/12,949.76
  6. Step 6: Final answer
    x = 6,266.50

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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.