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Finding the Fourth Proportional to 16,364.34, 24,338.10 and 16,189.38

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Solution

The fourth proportional to 16,364.34, 24,338.10 and 16,189.38 is: 24,077.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.34 : 24,338.10 = 16,189.38 : x
  2. Step 2: Convert to fraction form
    16,364.34/24,338.10 = 16,189.38/x
  3. Step 3: Cross multiply
    16,364.34x = 24,338.10 × 16,189.38
  4. Step 4: Simplify right side
    16,364.34x = 394,018,749.38
  5. Step 5: Solve for x
    x = 394,018,749.38/16,364.34
  6. Step 6: Final answer
    x = 24,077.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.