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Finding the Fourth Proportional to 14,249, 19,663.26 and 7,961.42

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Solution

The fourth proportional to 14,249, 19,663.26 and 7,961.42 is: 10,986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249 : 19,663.26 = 7,961.42 : x
  2. Step 2: Convert to fraction form
    14,249/19,663.26 = 7,961.42/x
  3. Step 3: Cross multiply
    14,249x = 19,663.26 × 7,961.42
  4. Step 4: Simplify right side
    14,249x = 156,547,471.43
  5. Step 5: Solve for x
    x = 156,547,471.43/14,249
  6. Step 6: Final answer
    x = 10,986.56

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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.