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Finding the Fourth Proportional to 14,500.20, 21,707.10 and 8,653.80

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Solution

The fourth proportional to 14,500.20, 21,707.10 and 8,653.80 is: 12,954.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500.20 : 21,707.10 = 8,653.80 : x
  2. Step 2: Convert to fraction form
    14,500.20/21,707.10 = 8,653.80/x
  3. Step 3: Cross multiply
    14,500.20x = 21,707.10 × 8,653.80
  4. Step 4: Simplify right side
    14,500.20x = 187,848,901.98
  5. Step 5: Solve for x
    x = 187,848,901.98/14,500.20
  6. Step 6: Final answer
    x = 12,954.92

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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.