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Finding the Fourth Proportional to 14,369.84, 21,539.40 and 8,202.80

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Solution

The fourth proportional to 14,369.84, 21,539.40 and 8,202.80 is: 12,295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,369.84 : 21,539.40 = 8,202.80 : x
  2. Step 2: Convert to fraction form
    14,369.84/21,539.40 = 8,202.80/x
  3. Step 3: Cross multiply
    14,369.84x = 21,539.40 × 8,202.80
  4. Step 4: Simplify right side
    14,369.84x = 176,683,390.32
  5. Step 5: Solve for x
    x = 176,683,390.32/14,369.84
  6. Step 6: Final answer
    x = 12,295.43

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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.