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Finding the Fourth Proportional to 15,849.40, 21,876.06 and 9,563.80

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Solution

The fourth proportional to 15,849.40, 21,876.06 and 9,563.80 is: 13,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,849.40 : 21,876.06 = 9,563.80 : x
  2. Step 2: Convert to fraction form
    15,849.40/21,876.06 = 9,563.80/x
  3. Step 3: Cross multiply
    15,849.40x = 21,876.06 × 9,563.80
  4. Step 4: Simplify right side
    15,849.40x = 209,218,262.63
  5. Step 5: Solve for x
    x = 209,218,262.63/15,849.40
  6. Step 6: Final answer
    x = 13,200.39

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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.