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Finding the Fourth Proportional to 21,035.52, 31,559.23 and 8,564.49

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Solution

The fourth proportional to 21,035.52, 31,559.23 and 8,564.49 is: 12,849.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,035.52 : 31,559.23 = 8,564.49 : x
  2. Step 2: Convert to fraction form
    21,035.52/31,559.23 = 8,564.49/x
  3. Step 3: Cross multiply
    21,035.52x = 31,559.23 × 8,564.49
  4. Step 4: Simplify right side
    21,035.52x = 270,288,709.74
  5. Step 5: Solve for x
    x = 270,288,709.74/21,035.52
  6. Step 6: Final answer
    x = 12,849.16

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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.