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Finding the Fourth Proportional to 18,677.74, 25,775.40 and 10,294.24

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Solution

The fourth proportional to 18,677.74, 25,775.40 and 10,294.24 is: 14,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,677.74 : 25,775.40 = 10,294.24 : x
  2. Step 2: Convert to fraction form
    18,677.74/25,775.40 = 10,294.24/x
  3. Step 3: Cross multiply
    18,677.74x = 25,775.40 × 10,294.24
  4. Step 4: Simplify right side
    18,677.74x = 265,338,153.70
  5. Step 5: Solve for x
    x = 265,338,153.70/18,677.74
  6. Step 6: Final answer
    x = 14,206.12

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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.