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Finding the Fourth Proportional to 19,662.27, 29,475.58 and 9,804.57

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Solution

The fourth proportional to 19,662.27, 29,475.58 and 9,804.57 is: 14,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,662.27 : 29,475.58 = 9,804.57 : x
  2. Step 2: Convert to fraction form
    19,662.27/29,475.58 = 9,804.57/x
  3. Step 3: Cross multiply
    19,662.27x = 29,475.58 × 9,804.57
  4. Step 4: Simplify right side
    19,662.27x = 288,995,387.40
  5. Step 5: Solve for x
    x = 288,995,387.40/19,662.27
  6. Step 6: Final answer
    x = 14,697.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.