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Finding the Fourth Proportional to 21,403.83, 29,549.07 and 16,024.34

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Solution

The fourth proportional to 21,403.83, 29,549.07 and 16,024.34 is: 22,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,403.83 : 29,549.07 = 16,024.34 : x
  2. Step 2: Convert to fraction form
    21,403.83/29,549.07 = 16,024.34/x
  3. Step 3: Cross multiply
    21,403.83x = 29,549.07 × 16,024.34
  4. Step 4: Simplify right side
    21,403.83x = 473,504,196.62
  5. Step 5: Solve for x
    x = 473,504,196.62/21,403.83
  6. Step 6: Final answer
    x = 22,122.41

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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.