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Finding the Fourth Proportional to 21,718.89, 32,578.31 and 7,671.29

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Solution

The fourth proportional to 21,718.89, 32,578.31 and 7,671.29 is: 11,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,718.89 : 32,578.31 = 7,671.29 : x
  2. Step 2: Convert to fraction form
    21,718.89/32,578.31 = 7,671.29/x
  3. Step 3: Cross multiply
    21,718.89x = 32,578.31 × 7,671.29
  4. Step 4: Simplify right side
    21,718.89x = 249,917,462.47
  5. Step 5: Solve for x
    x = 249,917,462.47/21,718.89
  6. Step 6: Final answer
    x = 11,506.92

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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.