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Finding the Fourth Proportional to 23,062.64, 31,814.82 and 13,496.24

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Solution

The fourth proportional to 23,062.64, 31,814.82 and 13,496.24 is: 18,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,062.64 : 31,814.82 = 13,496.24 : x
  2. Step 2: Convert to fraction form
    23,062.64/31,814.82 = 13,496.24/x
  3. Step 3: Cross multiply
    23,062.64x = 31,814.82 × 13,496.24
  4. Step 4: Simplify right side
    23,062.64x = 429,380,446.28
  5. Step 5: Solve for x
    x = 429,380,446.28/23,062.64
  6. Step 6: Final answer
    x = 18,618.01

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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.