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Finding the Fourth Proportional to 12,774.15, 19,161.20 and 4,009.74

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Solution

The fourth proportional to 12,774.15, 19,161.20 and 4,009.74 is: 6,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774.15 : 19,161.20 = 4,009.74 : x
  2. Step 2: Convert to fraction form
    12,774.15/19,161.20 = 4,009.74/x
  3. Step 3: Cross multiply
    12,774.15x = 19,161.20 × 4,009.74
  4. Step 4: Simplify right side
    12,774.15x = 76,831,410.04
  5. Step 5: Solve for x
    x = 76,831,410.04/12,774.15
  6. Step 6: Final answer
    x = 6,014.60

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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.