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Finding the Fourth Proportional to 30,010.68, 41,414.16 and 16,582.08

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Solution

The fourth proportional to 30,010.68, 41,414.16 and 16,582.08 is: 22,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,010.68 : 41,414.16 = 16,582.08 : x
  2. Step 2: Convert to fraction form
    30,010.68/41,414.16 = 16,582.08/x
  3. Step 3: Cross multiply
    30,010.68x = 41,414.16 × 16,582.08
  4. Step 4: Simplify right side
    30,010.68x = 686,732,914.25
  5. Step 5: Solve for x
    x = 686,732,914.25/30,010.68
  6. Step 6: Final answer
    x = 22,882.95

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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.