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Finding the Fourth Proportional to 14,456.49, 19,947.87 and 8,406.52

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Solution

The fourth proportional to 14,456.49, 19,947.87 and 8,406.52 is: 11,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.49 : 19,947.87 = 8,406.52 : x
  2. Step 2: Convert to fraction form
    14,456.49/19,947.87 = 8,406.52/x
  3. Step 3: Cross multiply
    14,456.49x = 19,947.87 × 8,406.52
  4. Step 4: Simplify right side
    14,456.49x = 167,692,168.11
  5. Step 5: Solve for x
    x = 167,692,168.11/14,456.49
  6. Step 6: Final answer
    x = 11,599.78

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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.