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Finding the Fourth Proportional to 21,642.56, 29,882.40 and 14,212.16

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Solution

The fourth proportional to 21,642.56, 29,882.40 and 14,212.16 is: 19,623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.56 : 29,882.40 = 14,212.16 : x
  2. Step 2: Convert to fraction form
    21,642.56/29,882.40 = 14,212.16/x
  3. Step 3: Cross multiply
    21,642.56x = 29,882.40 × 14,212.16
  4. Step 4: Simplify right side
    21,642.56x = 424,693,449.98
  5. Step 5: Solve for x
    x = 424,693,449.98/21,642.56
  6. Step 6: Final answer
    x = 19,623.07

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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.