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Finding the Fourth Proportional to 13,309.30, 19,922.42 and 9,803.27

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Solution

The fourth proportional to 13,309.30, 19,922.42 and 9,803.27 is: 14,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.30 : 19,922.42 = 9,803.27 : x
  2. Step 2: Convert to fraction form
    13,309.30/19,922.42 = 9,803.27/x
  3. Step 3: Cross multiply
    13,309.30x = 19,922.42 × 9,803.27
  4. Step 4: Simplify right side
    13,309.30x = 195,304,862.31
  5. Step 5: Solve for x
    x = 195,304,862.31/13,309.30
  6. Step 6: Final answer
    x = 14,674.32

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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.