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Finding the Fourth Proportional to 25,371.56, 38,034.60 and 9,785.60

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Solution

The fourth proportional to 25,371.56, 38,034.60 and 9,785.60 is: 14,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,371.56 : 38,034.60 = 9,785.60 : x
  2. Step 2: Convert to fraction form
    25,371.56/38,034.60 = 9,785.60/x
  3. Step 3: Cross multiply
    25,371.56x = 38,034.60 × 9,785.60
  4. Step 4: Simplify right side
    25,371.56x = 372,191,381.76
  5. Step 5: Solve for x
    x = 372,191,381.76/25,371.56
  6. Step 6: Final answer
    x = 14,669.63

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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.