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Finding the Fourth Proportional to 23,157, 31,956.84 and 13,733.64

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Solution

The fourth proportional to 23,157, 31,956.84 and 13,733.64 is: 18,952.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157 : 31,956.84 = 13,733.64 : x
  2. Step 2: Convert to fraction form
    23,157/31,956.84 = 13,733.64/x
  3. Step 3: Cross multiply
    23,157x = 31,956.84 × 13,733.64
  4. Step 4: Simplify right side
    23,157x = 438,883,736.10
  5. Step 5: Solve for x
    x = 438,883,736.10/23,157
  6. Step 6: Final answer
    x = 18,952.53

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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.