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Finding the Fourth Proportional to 21,534.72, 32,302.56 and 5,952.96

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Solution

The fourth proportional to 21,534.72, 32,302.56 and 5,952.96 is: 8,929.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534.72 : 32,302.56 = 5,952.96 : x
  2. Step 2: Convert to fraction form
    21,534.72/32,302.56 = 5,952.96/x
  3. Step 3: Cross multiply
    21,534.72x = 32,302.56 × 5,952.96
  4. Step 4: Simplify right side
    21,534.72x = 192,295,847.58
  5. Step 5: Solve for x
    x = 192,295,847.58/21,534.72
  6. Step 6: Final answer
    x = 8,929.57

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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.