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Finding the Fourth Proportional to 21,343.50, 32,018.29 and 7,304.78

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Solution

The fourth proportional to 21,343.50, 32,018.29 and 7,304.78 is: 10,958.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,343.50 : 32,018.29 = 7,304.78 : x
  2. Step 2: Convert to fraction form
    21,343.50/32,018.29 = 7,304.78/x
  3. Step 3: Cross multiply
    21,343.50x = 32,018.29 × 7,304.78
  4. Step 4: Simplify right side
    21,343.50x = 233,886,626.21
  5. Step 5: Solve for x
    x = 233,886,626.21/21,343.50
  6. Step 6: Final answer
    x = 10,958.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.