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Finding the Fourth Proportional to 30,638.86, 45,893.66 and 14,012.87

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Solution

The fourth proportional to 30,638.86, 45,893.66 and 14,012.87 is: 20,989.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,638.86 : 45,893.66 = 14,012.87 : x
  2. Step 2: Convert to fraction form
    30,638.86/45,893.66 = 14,012.87/x
  3. Step 3: Cross multiply
    30,638.86x = 45,893.66 × 14,012.87
  4. Step 4: Simplify right side
    30,638.86x = 643,101,591.87
  5. Step 5: Solve for x
    x = 643,101,591.87/30,638.86
  6. Step 6: Final answer
    x = 20,989.74

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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.