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Finding the Fourth Proportional to 30,433.34, 41,998.34 and 16,823.06

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Solution

The fourth proportional to 30,433.34, 41,998.34 and 16,823.06 is: 23,216.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,433.34 : 41,998.34 = 16,823.06 : x
  2. Step 2: Convert to fraction form
    30,433.34/41,998.34 = 16,823.06/x
  3. Step 3: Cross multiply
    30,433.34x = 41,998.34 × 16,823.06
  4. Step 4: Simplify right side
    30,433.34x = 706,540,740.77
  5. Step 5: Solve for x
    x = 706,540,740.77/30,433.34
  6. Step 6: Final answer
    x = 23,216.01

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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.