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Finding the Fourth Proportional to 12,638.16, 18,954.96 and 3,402

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Solution

The fourth proportional to 12,638.16, 18,954.96 and 3,402 is: 5,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.16 : 18,954.96 = 3,402 : x
  2. Step 2: Convert to fraction form
    12,638.16/18,954.96 = 3,402/x
  3. Step 3: Cross multiply
    12,638.16x = 18,954.96 × 3,402
  4. Step 4: Simplify right side
    12,638.16x = 64,484,773.92
  5. Step 5: Solve for x
    x = 64,484,773.92/12,638.16
  6. Step 6: Final answer
    x = 5,102.39

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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.