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Finding the Fourth Proportional to 12,655.50, 18,994.83 and 6,419.82

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Solution

The fourth proportional to 12,655.50, 18,994.83 and 6,419.82 is: 9,635.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,655.50 : 18,994.83 = 6,419.82 : x
  2. Step 2: Convert to fraction form
    12,655.50/18,994.83 = 6,419.82/x
  3. Step 3: Cross multiply
    12,655.50x = 18,994.83 × 6,419.82
  4. Step 4: Simplify right side
    12,655.50x = 121,943,389.53
  5. Step 5: Solve for x
    x = 121,943,389.53/12,655.50
  6. Step 6: Final answer
    x = 9,635.60

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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.