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Finding the Fourth Proportional to 12,774.71, 19,162.98 and 4,453.68

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Solution

The fourth proportional to 12,774.71, 19,162.98 and 4,453.68 is: 6,680.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.71 : 19,162.98 = 4,453.68 : x
  2. Step 2: Convert to fraction form
    12,774.71/19,162.98 = 4,453.68/x
  3. Step 3: Cross multiply
    12,774.71x = 19,162.98 × 4,453.68
  4. Step 4: Simplify right side
    12,774.71x = 85,345,852.63
  5. Step 5: Solve for x
    x = 85,345,852.63/12,774.71
  6. Step 6: Final answer
    x = 6,680.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.