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Finding the Fourth Proportional to 21,174.49, 31,755.23 and 14,642.65

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Solution

The fourth proportional to 21,174.49, 31,755.23 and 14,642.65 is: 21,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174.49 : 31,755.23 = 14,642.65 : x
  2. Step 2: Convert to fraction form
    21,174.49/31,755.23 = 14,642.65/x
  3. Step 3: Cross multiply
    21,174.49x = 31,755.23 × 14,642.65
  4. Step 4: Simplify right side
    21,174.49x = 464,980,486.57
  5. Step 5: Solve for x
    x = 464,980,486.57/21,174.49
  6. Step 6: Final answer
    x = 21,959.47

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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.