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Finding the Fourth Proportional to 12,774.90, 19,163.27 and 4,457.01

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Solution

The fourth proportional to 12,774.90, 19,163.27 and 4,457.01 is: 6,685.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.90 : 19,163.27 = 4,457.01 : x
  2. Step 2: Convert to fraction form
    12,774.90/19,163.27 = 4,457.01/x
  3. Step 3: Cross multiply
    12,774.90x = 19,163.27 × 4,457.01
  4. Step 4: Simplify right side
    12,774.90x = 85,410,886.02
  5. Step 5: Solve for x
    x = 85,410,886.02/12,774.90
  6. Step 6: Final answer
    x = 6,685.84

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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.