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Finding the Fourth Proportional to 31,728.64, 43,783.76 and 17,580.64

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Solution

The fourth proportional to 31,728.64, 43,783.76 and 17,580.64 is: 24,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,728.64 : 43,783.76 = 17,580.64 : x
  2. Step 2: Convert to fraction form
    31,728.64/43,783.76 = 17,580.64/x
  3. Step 3: Cross multiply
    31,728.64x = 43,783.76 × 17,580.64
  4. Step 4: Simplify right side
    31,728.64x = 769,746,522.41
  5. Step 5: Solve for x
    x = 769,746,522.41/31,728.64
  6. Step 6: Final answer
    x = 24,260.31

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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.