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Finding the Fourth Proportional to 21,509.92, 32,262.45 and 7,467.49

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Solution

The fourth proportional to 21,509.92, 32,262.45 and 7,467.49 is: 11,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.92 : 32,262.45 = 7,467.49 : x
  2. Step 2: Convert to fraction form
    21,509.92/32,262.45 = 7,467.49/x
  3. Step 3: Cross multiply
    21,509.92x = 32,262.45 × 7,467.49
  4. Step 4: Simplify right side
    21,509.92x = 240,919,522.75
  5. Step 5: Solve for x
    x = 240,919,522.75/21,509.92
  6. Step 6: Final answer
    x = 11,200.39

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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.