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Finding the Fourth Proportional to 30,084.84, 41,520.14 and 17,338.47

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Solution

The fourth proportional to 30,084.84, 41,520.14 and 17,338.47 is: 23,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,084.84 : 41,520.14 = 17,338.47 : x
  2. Step 2: Convert to fraction form
    30,084.84/41,520.14 = 17,338.47/x
  3. Step 3: Cross multiply
    30,084.84x = 41,520.14 × 17,338.47
  4. Step 4: Simplify right side
    30,084.84x = 719,895,701.79
  5. Step 5: Solve for x
    x = 719,895,701.79/30,084.84
  6. Step 6: Final answer
    x = 23,928.85

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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.