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Finding the Fourth Proportional to 28,141.12, 42,219.51 and 8,420.32

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Solution

The fourth proportional to 28,141.12, 42,219.51 and 8,420.32 is: 12,632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,141.12 : 42,219.51 = 8,420.32 : x
  2. Step 2: Convert to fraction form
    28,141.12/42,219.51 = 8,420.32/x
  3. Step 3: Cross multiply
    28,141.12x = 42,219.51 × 8,420.32
  4. Step 4: Simplify right side
    28,141.12x = 355,501,784.44
  5. Step 5: Solve for x
    x = 355,501,784.44/28,141.12
  6. Step 6: Final answer
    x = 12,632.82

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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.