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Finding the Fourth Proportional to 30,813.25, 42,522.30 and 16,666.09

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Solution

The fourth proportional to 30,813.25, 42,522.30 and 16,666.09 is: 22,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.25 : 42,522.30 = 16,666.09 : x
  2. Step 2: Convert to fraction form
    30,813.25/42,522.30 = 16,666.09/x
  3. Step 3: Cross multiply
    30,813.25x = 42,522.30 × 16,666.09
  4. Step 4: Simplify right side
    30,813.25x = 708,680,478.81
  5. Step 5: Solve for x
    x = 708,680,478.81/30,813.25
  6. Step 6: Final answer
    x = 22,999.21

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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.