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Finding the Fourth Proportional to 19,757.96, 29,621.56 and 9,892.16

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Solution

The fourth proportional to 19,757.96, 29,621.56 and 9,892.16 is: 14,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,757.96 : 29,621.56 = 9,892.16 : x
  2. Step 2: Convert to fraction form
    19,757.96/29,621.56 = 9,892.16/x
  3. Step 3: Cross multiply
    19,757.96x = 29,621.56 × 9,892.16
  4. Step 4: Simplify right side
    19,757.96x = 293,021,210.97
  5. Step 5: Solve for x
    x = 293,021,210.97/19,757.96
  6. Step 6: Final answer
    x = 14,830.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.