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Finding the Fourth Proportional to 30,586.84, 42,211.77 and 17,158.96

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Solution

The fourth proportional to 30,586.84, 42,211.77 and 17,158.96 is: 23,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,586.84 : 42,211.77 = 17,158.96 : x
  2. Step 2: Convert to fraction form
    30,586.84/42,211.77 = 17,158.96/x
  3. Step 3: Cross multiply
    30,586.84x = 42,211.77 × 17,158.96
  4. Step 4: Simplify right side
    30,586.84x = 724,310,072.96
  5. Step 5: Solve for x
    x = 724,310,072.96/30,586.84
  6. Step 6: Final answer
    x = 23,680.45

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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.