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Finding the Fourth Proportional to 18,540.63, 25,586.16 and 10,157.13

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Solution

The fourth proportional to 18,540.63, 25,586.16 and 10,157.13 is: 14,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,540.63 : 25,586.16 = 10,157.13 : x
  2. Step 2: Convert to fraction form
    18,540.63/25,586.16 = 10,157.13/x
  3. Step 3: Cross multiply
    18,540.63x = 25,586.16 × 10,157.13
  4. Step 4: Simplify right side
    18,540.63x = 259,881,953.32
  5. Step 5: Solve for x
    x = 259,881,953.32/18,540.63
  6. Step 6: Final answer
    x = 14,016.89

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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.