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Finding the Fourth Proportional to 24,479.70, 33,783.93 and 13,871.94

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Solution

The fourth proportional to 24,479.70, 33,783.93 and 13,871.94 is: 19,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,479.70 : 33,783.93 = 13,871.94 : x
  2. Step 2: Convert to fraction form
    24,479.70/33,783.93 = 13,871.94/x
  3. Step 3: Cross multiply
    24,479.70x = 33,783.93 × 13,871.94
  4. Step 4: Simplify right side
    24,479.70x = 468,648,649.92
  5. Step 5: Solve for x
    x = 468,648,649.92/24,479.70
  6. Step 6: Final answer
    x = 19,144.38

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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.