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Finding the Fourth Proportional to 25,386.72, 38,086.16 and 7,856.56

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Solution

The fourth proportional to 25,386.72, 38,086.16 and 7,856.56 is: 11,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,386.72 : 38,086.16 = 7,856.56 : x
  2. Step 2: Convert to fraction form
    25,386.72/38,086.16 = 7,856.56/x
  3. Step 3: Cross multiply
    25,386.72x = 38,086.16 × 7,856.56
  4. Step 4: Simplify right side
    25,386.72x = 299,226,201.21
  5. Step 5: Solve for x
    x = 299,226,201.21/25,386.72
  6. Step 6: Final answer
    x = 11,786.72

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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.