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Finding the Fourth Proportional to 25,233.56, 34,820.64 and 15,156

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Solution

The fourth proportional to 25,233.56, 34,820.64 and 15,156 is: 20,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,233.56 : 34,820.64 = 15,156 : x
  2. Step 2: Convert to fraction form
    25,233.56/34,820.64 = 15,156/x
  3. Step 3: Cross multiply
    25,233.56x = 34,820.64 × 15,156
  4. Step 4: Simplify right side
    25,233.56x = 527,741,619.84
  5. Step 5: Solve for x
    x = 527,741,619.84/25,233.56
  6. Step 6: Final answer
    x = 20,914.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.