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Finding the Fourth Proportional to 25,980.77, 38,975.27 and 8,446.50

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Solution

The fourth proportional to 25,980.77, 38,975.27 and 8,446.50 is: 12,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,980.77 : 38,975.27 = 8,446.50 : x
  2. Step 2: Convert to fraction form
    25,980.77/38,975.27 = 8,446.50/x
  3. Step 3: Cross multiply
    25,980.77x = 38,975.27 × 8,446.50
  4. Step 4: Simplify right side
    25,980.77x = 329,204,575.82
  5. Step 5: Solve for x
    x = 329,204,575.82/25,980.77
  6. Step 6: Final answer
    x = 12,671.08

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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.