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Finding the Fourth Proportional to 21,008.34, 31,326.71 and 19,578.42

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Solution

The fourth proportional to 21,008.34, 31,326.71 and 19,578.42 is: 29,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008.34 : 31,326.71 = 19,578.42 : x
  2. Step 2: Convert to fraction form
    21,008.34/31,326.71 = 19,578.42/x
  3. Step 3: Cross multiply
    21,008.34x = 31,326.71 × 19,578.42
  4. Step 4: Simplify right side
    21,008.34x = 613,327,387.71
  5. Step 5: Solve for x
    x = 613,327,387.71/21,008.34
  6. Step 6: Final answer
    x = 29,194.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.