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Finding the Fourth Proportional to 13,815.32, 20,700.77 and 8,266.04

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Solution

The fourth proportional to 13,815.32, 20,700.77 and 8,266.04 is: 12,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.32 : 20,700.77 = 8,266.04 : x
  2. Step 2: Convert to fraction form
    13,815.32/20,700.77 = 8,266.04/x
  3. Step 3: Cross multiply
    13,815.32x = 20,700.77 × 8,266.04
  4. Step 4: Simplify right side
    13,815.32x = 171,113,392.85
  5. Step 5: Solve for x
    x = 171,113,392.85/13,815.32
  6. Step 6: Final answer
    x = 12,385.77

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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.