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Finding the Fourth Proportional to 25,265.39, 37,877.49 and 9,461.54

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Solution

The fourth proportional to 25,265.39, 37,877.49 and 9,461.54 is: 14,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,265.39 : 37,877.49 = 9,461.54 : x
  2. Step 2: Convert to fraction form
    25,265.39/37,877.49 = 9,461.54/x
  3. Step 3: Cross multiply
    25,265.39x = 37,877.49 × 9,461.54
  4. Step 4: Simplify right side
    25,265.39x = 358,379,481.43
  5. Step 5: Solve for x
    x = 358,379,481.43/25,265.39
  6. Step 6: Final answer
    x = 14,184.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.