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Finding the Fourth Proportional to 21,628.50, 32,442.78 and 5,212.50

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Solution

The fourth proportional to 21,628.50, 32,442.78 and 5,212.50 is: 7,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,628.50 : 32,442.78 = 5,212.50 : x
  2. Step 2: Convert to fraction form
    21,628.50/32,442.78 = 5,212.50/x
  3. Step 3: Cross multiply
    21,628.50x = 32,442.78 × 5,212.50
  4. Step 4: Simplify right side
    21,628.50x = 169,107,990.75
  5. Step 5: Solve for x
    x = 169,107,990.75/21,628.50
  6. Step 6: Final answer
    x = 7,818.76

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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.