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Finding the Fourth Proportional to 25,476.84, 38,216.24 and 12,142.96

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Solution

The fourth proportional to 25,476.84, 38,216.24 and 12,142.96 is: 18,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,476.84 : 38,216.24 = 12,142.96 : x
  2. Step 2: Convert to fraction form
    25,476.84/38,216.24 = 12,142.96/x
  3. Step 3: Cross multiply
    25,476.84x = 38,216.24 × 12,142.96
  4. Step 4: Simplify right side
    25,476.84x = 464,058,273.67
  5. Step 5: Solve for x
    x = 464,058,273.67/25,476.84
  6. Step 6: Final answer
    x = 18,214.91

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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.