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Finding the Fourth Proportional to 30,294.62, 41,805.76 and 16,865.88

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Solution

The fourth proportional to 30,294.62, 41,805.76 and 16,865.88 is: 23,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294.62 : 41,805.76 = 16,865.88 : x
  2. Step 2: Convert to fraction form
    30,294.62/41,805.76 = 16,865.88/x
  3. Step 3: Cross multiply
    30,294.62x = 41,805.76 × 16,865.88
  4. Step 4: Simplify right side
    30,294.62x = 705,090,929.17
  5. Step 5: Solve for x
    x = 705,090,929.17/30,294.62
  6. Step 6: Final answer
    x = 23,274.46

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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.