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Finding the Fourth Proportional to 13,523.50, 20,267.58 and 9,787.86

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Solution

The fourth proportional to 13,523.50, 20,267.58 and 9,787.86 is: 14,669.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.50 : 20,267.58 = 9,787.86 : x
  2. Step 2: Convert to fraction form
    13,523.50/20,267.58 = 9,787.86/x
  3. Step 3: Cross multiply
    13,523.50x = 20,267.58 × 9,787.86
  4. Step 4: Simplify right side
    13,523.50x = 198,376,198.87
  5. Step 5: Solve for x
    x = 198,376,198.87/13,523.50
  6. Step 6: Final answer
    x = 14,669.00

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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.