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Finding the Fourth Proportional to 14,705.40, 20,298.20 and 9,414.48

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Solution

The fourth proportional to 14,705.40, 20,298.20 and 9,414.48 is: 12,995.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.40 : 20,298.20 = 9,414.48 : x
  2. Step 2: Convert to fraction form
    14,705.40/20,298.20 = 9,414.48/x
  3. Step 3: Cross multiply
    14,705.40x = 20,298.20 × 9,414.48
  4. Step 4: Simplify right side
    14,705.40x = 191,096,997.94
  5. Step 5: Solve for x
    x = 191,096,997.94/14,705.40
  6. Step 6: Final answer
    x = 12,995.02

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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.