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Finding the Fourth Proportional to 14,109.69, 19,470.62 and 8,141.01

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Solution

The fourth proportional to 14,109.69, 19,470.62 and 8,141.01 is: 11,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.69 : 19,470.62 = 8,141.01 : x
  2. Step 2: Convert to fraction form
    14,109.69/19,470.62 = 8,141.01/x
  3. Step 3: Cross multiply
    14,109.69x = 19,470.62 × 8,141.01
  4. Step 4: Simplify right side
    14,109.69x = 158,510,471.42
  5. Step 5: Solve for x
    x = 158,510,471.42/14,109.69
  6. Step 6: Final answer
    x = 11,234.16

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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.