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Finding the Fourth Proportional to 14,111.88, 19,471.78 and 9,141

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Solution

The fourth proportional to 14,111.88, 19,471.78 and 9,141 is: 12,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.88 : 19,471.78 = 9,141 : x
  2. Step 2: Convert to fraction form
    14,111.88/19,471.78 = 9,141/x
  3. Step 3: Cross multiply
    14,111.88x = 19,471.78 × 9,141
  4. Step 4: Simplify right side
    14,111.88x = 177,991,540.98
  5. Step 5: Solve for x
    x = 177,991,540.98/14,111.88
  6. Step 6: Final answer
    x = 12,612.89

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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.