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Finding the Fourth Proportional to 14,064.69, 19,409.85 and 8,096.40

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Solution

The fourth proportional to 14,064.69, 19,409.85 and 8,096.40 is: 11,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.69 : 19,409.85 = 8,096.40 : x
  2. Step 2: Convert to fraction form
    14,064.69/19,409.85 = 8,096.40/x
  3. Step 3: Cross multiply
    14,064.69x = 19,409.85 × 8,096.40
  4. Step 4: Simplify right side
    14,064.69x = 157,149,909.54
  5. Step 5: Solve for x
    x = 157,149,909.54/14,064.69
  6. Step 6: Final answer
    x = 11,173.36

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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.