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Finding the Fourth Proportional to 21,564.58, 32,346.85 and 9,704.49

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Solution

The fourth proportional to 21,564.58, 32,346.85 and 9,704.49 is: 14,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,564.58 : 32,346.85 = 9,704.49 : x
  2. Step 2: Convert to fraction form
    21,564.58/32,346.85 = 9,704.49/x
  3. Step 3: Cross multiply
    21,564.58x = 32,346.85 × 9,704.49
  4. Step 4: Simplify right side
    21,564.58x = 313,909,682.36
  5. Step 5: Solve for x
    x = 313,909,682.36/21,564.58
  6. Step 6: Final answer
    x = 14,556.73

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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.