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Finding the Fourth Proportional to 29,647.98, 40,914.98 and 16,219.80

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Solution

The fourth proportional to 29,647.98, 40,914.98 and 16,219.80 is: 22,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,647.98 : 40,914.98 = 16,219.80 : x
  2. Step 2: Convert to fraction form
    29,647.98/40,914.98 = 16,219.80/x
  3. Step 3: Cross multiply
    29,647.98x = 40,914.98 × 16,219.80
  4. Step 4: Simplify right side
    29,647.98x = 663,632,711.51
  5. Step 5: Solve for x
    x = 663,632,711.51/29,647.98
  6. Step 6: Final answer
    x = 22,383.74

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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.