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Finding the Fourth Proportional to 25,147.09, 37,725.50 and 9,563.50

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Solution

The fourth proportional to 25,147.09, 37,725.50 and 9,563.50 is: 14,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,147.09 : 37,725.50 = 9,563.50 : x
  2. Step 2: Convert to fraction form
    25,147.09/37,725.50 = 9,563.50/x
  3. Step 3: Cross multiply
    25,147.09x = 37,725.50 × 9,563.50
  4. Step 4: Simplify right side
    25,147.09x = 360,787,819.25
  5. Step 5: Solve for x
    x = 360,787,819.25/25,147.09
  6. Step 6: Final answer
    x = 14,347.10

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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.