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Finding the Fourth Proportional to 19,202.64, 28,809.90 and 9,849.30

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Solution

The fourth proportional to 19,202.64, 28,809.90 and 9,849.30 is: 14,777.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,202.64 : 28,809.90 = 9,849.30 : x
  2. Step 2: Convert to fraction form
    19,202.64/28,809.90 = 9,849.30/x
  3. Step 3: Cross multiply
    19,202.64x = 28,809.90 × 9,849.30
  4. Step 4: Simplify right side
    19,202.64x = 283,757,348.07
  5. Step 5: Solve for x
    x = 283,757,348.07/19,202.64
  6. Step 6: Final answer
    x = 14,777.00

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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.