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Finding the Fourth Proportional to 14,705.40, 20,295.18 and 8,419.80

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Solution

The fourth proportional to 14,705.40, 20,295.18 and 8,419.80 is: 11,620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.40 : 20,295.18 = 8,419.80 : x
  2. Step 2: Convert to fraction form
    14,705.40/20,295.18 = 8,419.80/x
  3. Step 3: Cross multiply
    14,705.40x = 20,295.18 × 8,419.80
  4. Step 4: Simplify right side
    14,705.40x = 170,881,356.56
  5. Step 5: Solve for x
    x = 170,881,356.56/14,705.40
  6. Step 6: Final answer
    x = 11,620.31

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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.