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Finding the Fourth Proportional to 21,504.56, 32,262.80 and 9,021.65

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Solution

The fourth proportional to 21,504.56, 32,262.80 and 9,021.65 is: 13,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,504.56 : 32,262.80 = 9,021.65 : x
  2. Step 2: Convert to fraction form
    21,504.56/32,262.80 = 9,021.65/x
  3. Step 3: Cross multiply
    21,504.56x = 32,262.80 × 9,021.65
  4. Step 4: Simplify right side
    21,504.56x = 291,063,483.20
  5. Step 5: Solve for x
    x = 291,063,483.20/21,504.56
  6. Step 6: Final answer
    x = 13,534.97

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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.