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Finding the Fourth Proportional to 29,757.16, 41,065.32 and 16,328.20

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Solution

The fourth proportional to 29,757.16, 41,065.32 and 16,328.20 is: 22,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,757.16 : 41,065.32 = 16,328.20 : x
  2. Step 2: Convert to fraction form
    29,757.16/41,065.32 = 16,328.20/x
  3. Step 3: Cross multiply
    29,757.16x = 41,065.32 × 16,328.20
  4. Step 4: Simplify right side
    29,757.16x = 670,522,758.02
  5. Step 5: Solve for x
    x = 670,522,758.02/29,757.16
  6. Step 6: Final answer
    x = 22,533.16

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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.