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Finding the Fourth Proportional to 14,100.89, 19,464.10 and 8,134.93

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Solution

The fourth proportional to 14,100.89, 19,464.10 and 8,134.93 is: 11,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100.89 : 19,464.10 = 8,134.93 : x
  2. Step 2: Convert to fraction form
    14,100.89/19,464.10 = 8,134.93/x
  3. Step 3: Cross multiply
    14,100.89x = 19,464.10 × 8,134.93
  4. Step 4: Simplify right side
    14,100.89x = 158,339,095.01
  5. Step 5: Solve for x
    x = 158,339,095.01/14,100.89
  6. Step 6: Final answer
    x = 11,229.02

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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.