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Finding the Fourth Proportional to 22,846.14, 31,527.50 and 12,774.60

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Solution

The fourth proportional to 22,846.14, 31,527.50 and 12,774.60 is: 17,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.14 : 31,527.50 = 12,774.60 : x
  2. Step 2: Convert to fraction form
    22,846.14/31,527.50 = 12,774.60/x
  3. Step 3: Cross multiply
    22,846.14x = 31,527.50 × 12,774.60
  4. Step 4: Simplify right side
    22,846.14x = 402,751,137.63
  5. Step 5: Solve for x
    x = 402,751,137.63/22,846.14
  6. Step 6: Final answer
    x = 17,628.85

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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.