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Finding the Fourth Proportional to 21,629.50, 32,444.28 and 5,213.50

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Solution

The fourth proportional to 21,629.50, 32,444.28 and 5,213.50 is: 7,820.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,629.50 : 32,444.28 = 5,213.50 : x
  2. Step 2: Convert to fraction form
    21,629.50/32,444.28 = 5,213.50/x
  3. Step 3: Cross multiply
    21,629.50x = 32,444.28 × 5,213.50
  4. Step 4: Simplify right side
    21,629.50x = 169,148,253.78
  5. Step 5: Solve for x
    x = 169,148,253.78/21,629.50
  6. Step 6: Final answer
    x = 7,820.26

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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.