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Finding the Fourth Proportional to 25,879.34, 35,688.12 and 16,431.50

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Solution

The fourth proportional to 25,879.34, 35,688.12 and 16,431.50 is: 22,659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,879.34 : 35,688.12 = 16,431.50 : x
  2. Step 2: Convert to fraction form
    25,879.34/35,688.12 = 16,431.50/x
  3. Step 3: Cross multiply
    25,879.34x = 35,688.12 × 16,431.50
  4. Step 4: Simplify right side
    25,879.34x = 586,409,343.78
  5. Step 5: Solve for x
    x = 586,409,343.78/25,879.34
  6. Step 6: Final answer
    x = 22,659.36

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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.