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Finding the Fourth Proportional to 14,456.40, 19,947.36 and 8,168.64

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Solution

The fourth proportional to 14,456.40, 19,947.36 and 8,168.64 is: 11,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.40 : 19,947.36 = 8,168.64 : x
  2. Step 2: Convert to fraction form
    14,456.40/19,947.36 = 8,168.64/x
  3. Step 3: Cross multiply
    14,456.40x = 19,947.36 × 8,168.64
  4. Step 4: Simplify right side
    14,456.40x = 162,942,802.79
  5. Step 5: Solve for x
    x = 162,942,802.79/14,456.40
  6. Step 6: Final answer
    x = 11,271.33

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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.