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Finding the Fourth Proportional to 16,123.66, 24,191.70 and 6,269.88

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Solution

The fourth proportional to 16,123.66, 24,191.70 and 6,269.88 is: 9,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.66 : 24,191.70 = 6,269.88 : x
  2. Step 2: Convert to fraction form
    16,123.66/24,191.70 = 6,269.88/x
  3. Step 3: Cross multiply
    16,123.66x = 24,191.70 × 6,269.88
  4. Step 4: Simplify right side
    16,123.66x = 151,679,056.00
  5. Step 5: Solve for x
    x = 151,679,056.00/16,123.66
  6. Step 6: Final answer
    x = 9,407.23

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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.