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Finding the Fourth Proportional to 30,415.12, 41,972.96 and 16,986.86

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Solution

The fourth proportional to 30,415.12, 41,972.96 and 16,986.86 is: 23,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.12 : 41,972.96 = 16,986.86 : x
  2. Step 2: Convert to fraction form
    30,415.12/41,972.96 = 16,986.86/x
  3. Step 3: Cross multiply
    30,415.12x = 41,972.96 × 16,986.86
  4. Step 4: Simplify right side
    30,415.12x = 712,988,795.31
  5. Step 5: Solve for x
    x = 712,988,795.31/30,415.12
  6. Step 6: Final answer
    x = 23,441.92

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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.