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Finding the Fourth Proportional to 30,728.16, 42,405.60 and 17,299.86

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Solution

The fourth proportional to 30,728.16, 42,405.60 and 17,299.86 is: 23,874.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728.16 : 42,405.60 = 17,299.86 : x
  2. Step 2: Convert to fraction form
    30,728.16/42,405.60 = 17,299.86/x
  3. Step 3: Cross multiply
    30,728.16x = 42,405.60 × 17,299.86
  4. Step 4: Simplify right side
    30,728.16x = 733,610,943.22
  5. Step 5: Solve for x
    x = 733,610,943.22/30,728.16
  6. Step 6: Final answer
    x = 23,874.22

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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.