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Finding the Fourth Proportional to 21,193.28, 31,783.86 and 8,543

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Solution

The fourth proportional to 21,193.28, 31,783.86 and 8,543 is: 12,812.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193.28 : 31,783.86 = 8,543 : x
  2. Step 2: Convert to fraction form
    21,193.28/31,783.86 = 8,543/x
  3. Step 3: Cross multiply
    21,193.28x = 31,783.86 × 8,543
  4. Step 4: Simplify right side
    21,193.28x = 271,529,515.98
  5. Step 5: Solve for x
    x = 271,529,515.98/21,193.28
  6. Step 6: Final answer
    x = 12,812.06

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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.