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Finding the Fourth Proportional to 21,507.45, 32,255.78 and 7,653.21

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Solution

The fourth proportional to 21,507.45, 32,255.78 and 7,653.21 is: 11,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,507.45 : 32,255.78 = 7,653.21 : x
  2. Step 2: Convert to fraction form
    21,507.45/32,255.78 = 7,653.21/x
  3. Step 3: Cross multiply
    21,507.45x = 32,255.78 × 7,653.21
  4. Step 4: Simplify right side
    21,507.45x = 246,860,219.79
  5. Step 5: Solve for x
    x = 246,860,219.79/21,507.45
  6. Step 6: Final answer
    x = 11,477.89

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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.