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Finding the Fourth Proportional to 16,370.81, 24,535.65 and 6,999.82

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Solution

The fourth proportional to 16,370.81, 24,535.65 and 6,999.82 is: 10,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,370.81 : 24,535.65 = 6,999.82 : x
  2. Step 2: Convert to fraction form
    16,370.81/24,535.65 = 6,999.82/x
  3. Step 3: Cross multiply
    16,370.81x = 24,535.65 × 6,999.82
  4. Step 4: Simplify right side
    16,370.81x = 171,745,098.49
  5. Step 5: Solve for x
    x = 171,745,098.49/16,370.81
  6. Step 6: Final answer
    x = 10,490.94

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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.