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Finding the Fourth Proportional to 15,797.81, 21,805.94 and 10,133.48

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Solution

The fourth proportional to 15,797.81, 21,805.94 and 10,133.48 is: 13,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,797.81 : 21,805.94 = 10,133.48 : x
  2. Step 2: Convert to fraction form
    15,797.81/21,805.94 = 10,133.48/x
  3. Step 3: Cross multiply
    15,797.81x = 21,805.94 × 10,133.48
  4. Step 4: Simplify right side
    15,797.81x = 220,970,056.87
  5. Step 5: Solve for x
    x = 220,970,056.87/15,797.81
  6. Step 6: Final answer
    x = 13,987.39

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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.