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Finding the Fourth Proportional to 28,159.76, 42,239.64 and 8,438.32

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Solution

The fourth proportional to 28,159.76, 42,239.64 and 8,438.32 is: 12,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,159.76 : 42,239.64 = 8,438.32 : x
  2. Step 2: Convert to fraction form
    28,159.76/42,239.64 = 8,438.32/x
  3. Step 3: Cross multiply
    28,159.76x = 42,239.64 × 8,438.32
  4. Step 4: Simplify right side
    28,159.76x = 356,431,497.85
  5. Step 5: Solve for x
    x = 356,431,497.85/28,159.76
  6. Step 6: Final answer
    x = 12,657.48

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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.