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Finding the Fourth Proportional to 28,431.86, 42,630.78 and 13,442.84

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Solution

The fourth proportional to 28,431.86, 42,630.78 and 13,442.84 is: 20,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,431.86 : 42,630.78 = 13,442.84 : x
  2. Step 2: Convert to fraction form
    28,431.86/42,630.78 = 13,442.84/x
  3. Step 3: Cross multiply
    28,431.86x = 42,630.78 × 13,442.84
  4. Step 4: Simplify right side
    28,431.86x = 573,078,754.62
  5. Step 5: Solve for x
    x = 573,078,754.62/28,431.86
  6. Step 6: Final answer
    x = 20,156.22

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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.