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Finding the Fourth Proportional to 16,305.76, 24,428.86 and 7,535.90

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Solution

The fourth proportional to 16,305.76, 24,428.86 and 7,535.90 is: 11,290.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.76 : 24,428.86 = 7,535.90 : x
  2. Step 2: Convert to fraction form
    16,305.76/24,428.86 = 7,535.90/x
  3. Step 3: Cross multiply
    16,305.76x = 24,428.86 × 7,535.90
  4. Step 4: Simplify right side
    16,305.76x = 184,093,446.07
  5. Step 5: Solve for x
    x = 184,093,446.07/16,305.76
  6. Step 6: Final answer
    x = 11,290.09

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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.