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Finding the Fourth Proportional to 30,909.84, 42,657.71 and 17,481.17

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Solution

The fourth proportional to 30,909.84, 42,657.71 and 17,481.17 is: 24,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909.84 : 42,657.71 = 17,481.17 : x
  2. Step 2: Convert to fraction form
    30,909.84/42,657.71 = 17,481.17/x
  3. Step 3: Cross multiply
    30,909.84x = 42,657.71 × 17,481.17
  4. Step 4: Simplify right side
    30,909.84x = 745,706,379.63
  5. Step 5: Solve for x
    x = 745,706,379.63/30,909.84
  6. Step 6: Final answer
    x = 24,125.21

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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.