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Finding the Fourth Proportional to 28,157.23, 42,230.98 and 8,430.49

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Solution

The fourth proportional to 28,157.23, 42,230.98 and 8,430.49 is: 12,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,157.23 : 42,230.98 = 8,430.49 : x
  2. Step 2: Convert to fraction form
    28,157.23/42,230.98 = 8,430.49/x
  3. Step 3: Cross multiply
    28,157.23x = 42,230.98 × 8,430.49
  4. Step 4: Simplify right side
    28,157.23x = 356,027,727.93
  5. Step 5: Solve for x
    x = 356,027,727.93/28,157.23
  6. Step 6: Final answer
    x = 12,644.28

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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.