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Finding the Fourth Proportional to 15,929.41, 21,972.41 and 10,271.41

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Solution

The fourth proportional to 15,929.41, 21,972.41 and 10,271.41 is: 14,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,929.41 : 21,972.41 = 10,271.41 : x
  2. Step 2: Convert to fraction form
    15,929.41/21,972.41 = 10,271.41/x
  3. Step 3: Cross multiply
    15,929.41x = 21,972.41 × 10,271.41
  4. Step 4: Simplify right side
    15,929.41x = 225,687,580.44
  5. Step 5: Solve for x
    x = 225,687,580.44/15,929.41
  6. Step 6: Final answer
    x = 14,167.98

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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.