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Finding the Fourth Proportional to 14,710.58, 20,305.24 and 9,405.42

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Solution

The fourth proportional to 14,710.58, 20,305.24 and 9,405.42 is: 12,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,710.58 : 20,305.24 = 9,405.42 : x
  2. Step 2: Convert to fraction form
    14,710.58/20,305.24 = 9,405.42/x
  3. Step 3: Cross multiply
    14,710.58x = 20,305.24 × 9,405.42
  4. Step 4: Simplify right side
    14,710.58x = 190,979,208.87
  5. Step 5: Solve for x
    x = 190,979,208.87/14,710.58
  6. Step 6: Final answer
    x = 12,982.44

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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.