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Finding the Fourth Proportional to 21,309.57, 31,952.04 and 9,463.32

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Solution

The fourth proportional to 21,309.57, 31,952.04 and 9,463.32 is: 14,189.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309.57 : 31,952.04 = 9,463.32 : x
  2. Step 2: Convert to fraction form
    21,309.57/31,952.04 = 9,463.32/x
  3. Step 3: Cross multiply
    21,309.57x = 31,952.04 × 9,463.32
  4. Step 4: Simplify right side
    21,309.57x = 302,372,379.17
  5. Step 5: Solve for x
    x = 302,372,379.17/21,309.57
  6. Step 6: Final answer
    x = 14,189.51

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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.