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Finding the Fourth Proportional to 16,312.79, 24,469.19 and 7,546.57

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Solution

The fourth proportional to 16,312.79, 24,469.19 and 7,546.57 is: 11,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.79 : 24,469.19 = 7,546.57 : x
  2. Step 2: Convert to fraction form
    16,312.79/24,469.19 = 7,546.57/x
  3. Step 3: Cross multiply
    16,312.79x = 24,469.19 × 7,546.57
  4. Step 4: Simplify right side
    16,312.79x = 184,658,384.57
  5. Step 5: Solve for x
    x = 184,658,384.57/16,312.79
  6. Step 6: Final answer
    x = 11,319.85

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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.