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Finding the Fourth Proportional to 30,411.14, 41,966.93 and 16,982.62

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Solution

The fourth proportional to 30,411.14, 41,966.93 and 16,982.62 is: 23,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,411.14 : 41,966.93 = 16,982.62 : x
  2. Step 2: Convert to fraction form
    30,411.14/41,966.93 = 16,982.62/x
  3. Step 3: Cross multiply
    30,411.14x = 41,966.93 × 16,982.62
  4. Step 4: Simplify right side
    30,411.14x = 712,708,362.30
  5. Step 5: Solve for x
    x = 712,708,362.30/30,411.14
  6. Step 6: Final answer
    x = 23,435.77

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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.