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Finding the Fourth Proportional to 22,650.94, 31,257.25 and 12,580.02

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Solution

The fourth proportional to 22,650.94, 31,257.25 and 12,580.02 is: 17,359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,650.94 : 31,257.25 = 12,580.02 : x
  2. Step 2: Convert to fraction form
    22,650.94/31,257.25 = 12,580.02/x
  3. Step 3: Cross multiply
    22,650.94x = 31,257.25 × 12,580.02
  4. Step 4: Simplify right side
    22,650.94x = 393,216,642.41
  5. Step 5: Solve for x
    x = 393,216,642.41/22,650.94
  6. Step 6: Final answer
    x = 17,359.84

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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.