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Finding the Fourth Proportional to 18,677.56, 25,775.14 and 10,294.06

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Solution

The fourth proportional to 18,677.56, 25,775.14 and 10,294.06 is: 14,205.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,677.56 : 25,775.14 = 10,294.06 : x
  2. Step 2: Convert to fraction form
    18,677.56/25,775.14 = 10,294.06/x
  3. Step 3: Cross multiply
    18,677.56x = 25,775.14 × 10,294.06
  4. Step 4: Simplify right side
    18,677.56x = 265,330,837.67
  5. Step 5: Solve for x
    x = 265,330,837.67/18,677.56
  6. Step 6: Final answer
    x = 14,205.86

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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.