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Finding the Fourth Proportional to 24,965.94, 37,422.27 and 12,461.34

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Solution

The fourth proportional to 24,965.94, 37,422.27 and 12,461.34 is: 18,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,965.94 : 37,422.27 = 12,461.34 : x
  2. Step 2: Convert to fraction form
    24,965.94/37,422.27 = 12,461.34/x
  3. Step 3: Cross multiply
    24,965.94x = 37,422.27 × 12,461.34
  4. Step 4: Simplify right side
    24,965.94x = 466,331,630.04
  5. Step 5: Solve for x
    x = 466,331,630.04/24,965.94
  6. Step 6: Final answer
    x = 18,678.71

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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.