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Finding the Fourth Proportional to 21,064.24, 31,605.53 and 12,299.16

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Solution

The fourth proportional to 21,064.24, 31,605.53 and 12,299.16 is: 18,454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064.24 : 31,605.53 = 12,299.16 : x
  2. Step 2: Convert to fraction form
    21,064.24/31,605.53 = 12,299.16/x
  3. Step 3: Cross multiply
    21,064.24x = 31,605.53 × 12,299.16
  4. Step 4: Simplify right side
    21,064.24x = 388,721,470.35
  5. Step 5: Solve for x
    x = 388,721,470.35/21,064.24
  6. Step 6: Final answer
    x = 18,454.09

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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.