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Finding the Fourth Proportional to 14,111.42, 19,472.71 and 7,736.99

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Solution

The fourth proportional to 14,111.42, 19,472.71 and 7,736.99 is: 10,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.42 : 19,472.71 = 7,736.99 : x
  2. Step 2: Convert to fraction form
    14,111.42/19,472.71 = 7,736.99/x
  3. Step 3: Cross multiply
    14,111.42x = 19,472.71 × 7,736.99
  4. Step 4: Simplify right side
    14,111.42x = 150,660,162.54
  5. Step 5: Solve for x
    x = 150,660,162.54/14,111.42
  6. Step 6: Final answer
    x = 10,676.47

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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.