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Finding the Fourth Proportional to 21,658.29, 32,491.99 and 12,302.63

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Solution

The fourth proportional to 21,658.29, 32,491.99 and 12,302.63 is: 18,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.29 : 32,491.99 = 12,302.63 : x
  2. Step 2: Convert to fraction form
    21,658.29/32,491.99 = 12,302.63/x
  3. Step 3: Cross multiply
    21,658.29x = 32,491.99 × 12,302.63
  4. Step 4: Simplify right side
    21,658.29x = 399,737,019.26
  5. Step 5: Solve for x
    x = 399,737,019.26/21,658.29
  6. Step 6: Final answer
    x = 18,456.54

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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.