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Finding the Fourth Proportional to 30,212.84, 45,319.08 and 11,744.84

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Solution

The fourth proportional to 30,212.84, 45,319.08 and 11,744.84 is: 17,617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,212.84 : 45,319.08 = 11,744.84 : x
  2. Step 2: Convert to fraction form
    30,212.84/45,319.08 = 11,744.84/x
  3. Step 3: Cross multiply
    30,212.84x = 45,319.08 × 11,744.84
  4. Step 4: Simplify right side
    30,212.84x = 532,265,343.55
  5. Step 5: Solve for x
    x = 532,265,343.55/30,212.84
  6. Step 6: Final answer
    x = 17,617.19

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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.