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Finding the Fourth Proportional to 14,548.80, 21,836.85 and 7,158.60

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Solution

The fourth proportional to 14,548.80, 21,836.85 and 7,158.60 is: 10,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548.80 : 21,836.85 = 7,158.60 : x
  2. Step 2: Convert to fraction form
    14,548.80/21,836.85 = 7,158.60/x
  3. Step 3: Cross multiply
    14,548.80x = 21,836.85 × 7,158.60
  4. Step 4: Simplify right side
    14,548.80x = 156,321,274.41
  5. Step 5: Solve for x
    x = 156,321,274.41/14,548.80
  6. Step 6: Final answer
    x = 10,744.62

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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.