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Finding the Fourth Proportional to 13,470.64, 18,584.24 and 8,432.80

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Solution

The fourth proportional to 13,470.64, 18,584.24 and 8,432.80 is: 11,633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.64 : 18,584.24 = 8,432.80 : x
  2. Step 2: Convert to fraction form
    13,470.64/18,584.24 = 8,432.80/x
  3. Step 3: Cross multiply
    13,470.64x = 18,584.24 × 8,432.80
  4. Step 4: Simplify right side
    13,470.64x = 156,717,179.07
  5. Step 5: Solve for x
    x = 156,717,179.07/13,470.64
  6. Step 6: Final answer
    x = 11,633.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.