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Finding the Fourth Proportional to 25,660.29, 38,475.74 and 7,886.33

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Solution

The fourth proportional to 25,660.29, 38,475.74 and 7,886.33 is: 11,824.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,660.29 : 38,475.74 = 7,886.33 : x
  2. Step 2: Convert to fraction form
    25,660.29/38,475.74 = 7,886.33/x
  3. Step 3: Cross multiply
    25,660.29x = 38,475.74 × 7,886.33
  4. Step 4: Simplify right side
    25,660.29x = 303,432,354.26
  5. Step 5: Solve for x
    x = 303,432,354.26/25,660.29
  6. Step 6: Final answer
    x = 11,824.98

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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.