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Finding the Fourth Proportional to 21,459.28, 32,190.34 and 7,420.67

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Solution

The fourth proportional to 21,459.28, 32,190.34 and 7,420.67 is: 11,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,459.28 : 32,190.34 = 7,420.67 : x
  2. Step 2: Convert to fraction form
    21,459.28/32,190.34 = 7,420.67/x
  3. Step 3: Cross multiply
    21,459.28x = 32,190.34 × 7,420.67
  4. Step 4: Simplify right side
    21,459.28x = 238,873,890.33
  5. Step 5: Solve for x
    x = 238,873,890.33/21,459.28
  6. Step 6: Final answer
    x = 11,131.50

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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.