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Finding the Fourth Proportional to 14,238.72, 19,652.76 and 9,204.84

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Solution

The fourth proportional to 14,238.72, 19,652.76 and 9,204.84 is: 12,704.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.72 : 19,652.76 = 9,204.84 : x
  2. Step 2: Convert to fraction form
    14,238.72/19,652.76 = 9,204.84/x
  3. Step 3: Cross multiply
    14,238.72x = 19,652.76 × 9,204.84
  4. Step 4: Simplify right side
    14,238.72x = 180,900,511.36
  5. Step 5: Solve for x
    x = 180,900,511.36/14,238.72
  6. Step 6: Final answer
    x = 12,704.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.