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Finding the Fourth Proportional to 30,586.88, 45,892.56 and 13,954.74

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Solution

The fourth proportional to 30,586.88, 45,892.56 and 13,954.74 is: 20,937.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,586.88 : 45,892.56 = 13,954.74 : x
  2. Step 2: Convert to fraction form
    30,586.88/45,892.56 = 13,954.74/x
  3. Step 3: Cross multiply
    30,586.88x = 45,892.56 × 13,954.74
  4. Step 4: Simplify right side
    30,586.88x = 640,418,742.73
  5. Step 5: Solve for x
    x = 640,418,742.73/30,586.88
  6. Step 6: Final answer
    x = 20,937.70

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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.