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Finding the Fourth Proportional to 28,158.29, 42,238.83 and 8,434.96

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Solution

The fourth proportional to 28,158.29, 42,238.83 and 8,434.96 is: 12,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,158.29 : 42,238.83 = 8,434.96 : x
  2. Step 2: Convert to fraction form
    28,158.29/42,238.83 = 8,434.96/x
  3. Step 3: Cross multiply
    28,158.29x = 42,238.83 × 8,434.96
  4. Step 4: Simplify right side
    28,158.29x = 356,282,799.32
  5. Step 5: Solve for x
    x = 356,282,799.32/28,158.29
  6. Step 6: Final answer
    x = 12,652.86

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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.