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Finding the Fourth Proportional to 25,405.40, 38,112.16 and 10,606.70

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Solution

The fourth proportional to 25,405.40, 38,112.16 and 10,606.70 is: 15,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,405.40 : 38,112.16 = 10,606.70 : x
  2. Step 2: Convert to fraction form
    25,405.40/38,112.16 = 10,606.70/x
  3. Step 3: Cross multiply
    25,405.40x = 38,112.16 × 10,606.70
  4. Step 4: Simplify right side
    25,405.40x = 404,244,247.47
  5. Step 5: Solve for x
    x = 404,244,247.47/25,405.40
  6. Step 6: Final answer
    x = 15,911.75

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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.