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Finding the Fourth Proportional to 21,584.36, 29,782.49 and 12,024.02

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Solution

The fourth proportional to 21,584.36, 29,782.49 and 12,024.02 is: 16,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584.36 : 29,782.49 = 12,024.02 : x
  2. Step 2: Convert to fraction form
    21,584.36/29,782.49 = 12,024.02/x
  3. Step 3: Cross multiply
    21,584.36x = 29,782.49 × 12,024.02
  4. Step 4: Simplify right side
    21,584.36x = 358,105,269.75
  5. Step 5: Solve for x
    x = 358,105,269.75/21,584.36
  6. Step 6: Final answer
    x = 16,590.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.