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Finding the Fourth Proportional to 30,813.57, 42,522.71 and 16,666.43

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Solution

The fourth proportional to 30,813.57, 42,522.71 and 16,666.43 is: 22,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.57 : 42,522.71 = 16,666.43 : x
  2. Step 2: Convert to fraction form
    30,813.57/42,522.71 = 16,666.43/x
  3. Step 3: Cross multiply
    30,813.57x = 42,522.71 × 16,666.43
  4. Step 4: Simplify right side
    30,813.57x = 708,701,473.68
  5. Step 5: Solve for x
    x = 708,701,473.68/30,813.57
  6. Step 6: Final answer
    x = 22,999.65

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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.