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Finding the Fourth Proportional to 14,133.43, 19,500.13 and 9,100.56

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Solution

The fourth proportional to 14,133.43, 19,500.13 and 9,100.56 is: 12,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,133.43 : 19,500.13 = 9,100.56 : x
  2. Step 2: Convert to fraction form
    14,133.43/19,500.13 = 9,100.56/x
  3. Step 3: Cross multiply
    14,133.43x = 19,500.13 × 9,100.56
  4. Step 4: Simplify right side
    14,133.43x = 177,462,103.07
  5. Step 5: Solve for x
    x = 177,462,103.07/14,133.43
  6. Step 6: Final answer
    x = 12,556.19

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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.