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Finding the Fourth Proportional to 14,517.12, 21,783.68 and 8,684.80

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Solution

The fourth proportional to 14,517.12, 21,783.68 and 8,684.80 is: 13,031.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.12 : 21,783.68 = 8,684.80 : x
  2. Step 2: Convert to fraction form
    14,517.12/21,783.68 = 8,684.80/x
  3. Step 3: Cross multiply
    14,517.12x = 21,783.68 × 8,684.80
  4. Step 4: Simplify right side
    14,517.12x = 189,186,904.06
  5. Step 5: Solve for x
    x = 189,186,904.06/14,517.12
  6. Step 6: Final answer
    x = 13,031.99

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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.