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Finding the Fourth Proportional to 21,432.34, 29,546.16 and 15,757.06

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Solution

The fourth proportional to 21,432.34, 29,546.16 and 15,757.06 is: 21,722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,432.34 : 29,546.16 = 15,757.06 : x
  2. Step 2: Convert to fraction form
    21,432.34/29,546.16 = 15,757.06/x
  3. Step 3: Cross multiply
    21,432.34x = 29,546.16 × 15,757.06
  4. Step 4: Simplify right side
    21,432.34x = 465,560,615.89
  5. Step 5: Solve for x
    x = 465,560,615.89/21,432.34
  6. Step 6: Final answer
    x = 21,722.34

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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.