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Finding the Fourth Proportional to 18,507.50, 25,540.76 and 10,124

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Solution

The fourth proportional to 18,507.50, 25,540.76 and 10,124 is: 13,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,507.50 : 25,540.76 = 10,124 : x
  2. Step 2: Convert to fraction form
    18,507.50/25,540.76 = 10,124/x
  3. Step 3: Cross multiply
    18,507.50x = 25,540.76 × 10,124
  4. Step 4: Simplify right side
    18,507.50x = 258,574,654.24
  5. Step 5: Solve for x
    x = 258,574,654.24/18,507.50
  6. Step 6: Final answer
    x = 13,971.34

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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.