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Finding the Fourth Proportional to 28,397.25, 42,601.34 and 12,814.88

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Solution

The fourth proportional to 28,397.25, 42,601.34 and 12,814.88 is: 19,224.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,397.25 : 42,601.34 = 12,814.88 : x
  2. Step 2: Convert to fraction form
    28,397.25/42,601.34 = 12,814.88/x
  3. Step 3: Cross multiply
    28,397.25x = 42,601.34 × 12,814.88
  4. Step 4: Simplify right side
    28,397.25x = 545,930,878.97
  5. Step 5: Solve for x
    x = 545,930,878.97/28,397.25
  6. Step 6: Final answer
    x = 19,224.78

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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.