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Finding the Fourth Proportional to 25,963.20, 38,940.48 and 8,430.84

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Solution

The fourth proportional to 25,963.20, 38,940.48 and 8,430.84 is: 12,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,963.20 : 38,940.48 = 8,430.84 : x
  2. Step 2: Convert to fraction form
    25,963.20/38,940.48 = 8,430.84/x
  3. Step 3: Cross multiply
    25,963.20x = 38,940.48 × 8,430.84
  4. Step 4: Simplify right side
    25,963.20x = 328,300,956.40
  5. Step 5: Solve for x
    x = 328,300,956.40/25,963.20
  6. Step 6: Final answer
    x = 12,644.86

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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.