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Finding the Fourth Proportional to 15,869.80, 21,889.38 and 9,574.12

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Solution

The fourth proportional to 15,869.80, 21,889.38 and 9,574.12 is: 13,205.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,869.80 : 21,889.38 = 9,574.12 : x
  2. Step 2: Convert to fraction form
    15,869.80/21,889.38 = 9,574.12/x
  3. Step 3: Cross multiply
    15,869.80x = 21,889.38 × 9,574.12
  4. Step 4: Simplify right side
    15,869.80x = 209,571,550.85
  5. Step 5: Solve for x
    x = 209,571,550.85/15,869.80
  6. Step 6: Final answer
    x = 13,205.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.