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Finding the Fourth Proportional to 12,638.10, 18,959.39 and 4,316.17

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Solution

The fourth proportional to 12,638.10, 18,959.39 and 4,316.17 is: 6,475.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.10 : 18,959.39 = 4,316.17 : x
  2. Step 2: Convert to fraction form
    12,638.10/18,959.39 = 4,316.17/x
  3. Step 3: Cross multiply
    12,638.10x = 18,959.39 × 4,316.17
  4. Step 4: Simplify right side
    12,638.10x = 81,831,933.09
  5. Step 5: Solve for x
    x = 81,831,933.09/12,638.10
  6. Step 6: Final answer
    x = 6,475.02

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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.