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Finding the Fourth Proportional to 21,509.80, 32,262.28 and 7,467.24

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Solution

The fourth proportional to 21,509.80, 32,262.28 and 7,467.24 is: 11,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.80 : 32,262.28 = 7,467.24 : x
  2. Step 2: Convert to fraction form
    21,509.80/32,262.28 = 7,467.24/x
  3. Step 3: Cross multiply
    21,509.80x = 32,262.28 × 7,467.24
  4. Step 4: Simplify right side
    21,509.80x = 240,910,187.71
  5. Step 5: Solve for x
    x = 240,910,187.71/21,509.80
  6. Step 6: Final answer
    x = 11,200.02

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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.