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Finding the Fourth Proportional to 16,177.97, 24,266.97 and 5,085.63

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Solution

The fourth proportional to 16,177.97, 24,266.97 and 5,085.63 is: 7,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.97 : 24,266.97 = 5,085.63 : x
  2. Step 2: Convert to fraction form
    16,177.97/24,266.97 = 5,085.63/x
  3. Step 3: Cross multiply
    16,177.97x = 24,266.97 × 5,085.63
  4. Step 4: Simplify right side
    16,177.97x = 123,412,830.64
  5. Step 5: Solve for x
    x = 123,412,830.64/16,177.97
  6. Step 6: Final answer
    x = 7,628.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.