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Finding the Fourth Proportional to 14,232.81, 19,641.59 and 7,945.19

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Solution

The fourth proportional to 14,232.81, 19,641.59 and 7,945.19 is: 10,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.81 : 19,641.59 = 7,945.19 : x
  2. Step 2: Convert to fraction form
    14,232.81/19,641.59 = 7,945.19/x
  3. Step 3: Cross multiply
    14,232.81x = 19,641.59 × 7,945.19
  4. Step 4: Simplify right side
    14,232.81x = 156,056,164.45
  5. Step 5: Solve for x
    x = 156,056,164.45/14,232.81
  6. Step 6: Final answer
    x = 10,964.54

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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.