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Finding the Fourth Proportional to 28,178.98, 42,269.24 and 8,457.54

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Solution

The fourth proportional to 28,178.98, 42,269.24 and 8,457.54 is: 12,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,178.98 : 42,269.24 = 8,457.54 : x
  2. Step 2: Convert to fraction form
    28,178.98/42,269.24 = 8,457.54/x
  3. Step 3: Cross multiply
    28,178.98x = 42,269.24 × 8,457.54
  4. Step 4: Simplify right side
    28,178.98x = 357,493,769.59
  5. Step 5: Solve for x
    x = 357,493,769.59/28,178.98
  6. Step 6: Final answer
    x = 12,686.54

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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.