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Finding the Fourth Proportional to 21,190.83, 29,242.17 and 12,237.78

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Solution

The fourth proportional to 21,190.83, 29,242.17 and 12,237.78 is: 16,887.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,190.83 : 29,242.17 = 12,237.78 : x
  2. Step 2: Convert to fraction form
    21,190.83/29,242.17 = 12,237.78/x
  3. Step 3: Cross multiply
    21,190.83x = 29,242.17 × 12,237.78
  4. Step 4: Simplify right side
    21,190.83x = 357,859,243.18
  5. Step 5: Solve for x
    x = 357,859,243.18/21,190.83
  6. Step 6: Final answer
    x = 16,887.46

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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.