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Finding the Fourth Proportional to 14,233.41, 19,641.83 and 7,945.65

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Solution

The fourth proportional to 14,233.41, 19,641.83 and 7,945.65 is: 10,964.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.41 : 19,641.83 = 7,945.65 : x
  2. Step 2: Convert to fraction form
    14,233.41/19,641.83 = 7,945.65/x
  3. Step 3: Cross multiply
    14,233.41x = 19,641.83 × 7,945.65
  4. Step 4: Simplify right side
    14,233.41x = 156,067,066.81
  5. Step 5: Solve for x
    x = 156,067,066.81/14,233.41
  6. Step 6: Final answer
    x = 10,964.84

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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.