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Finding the Fourth Proportional to 24,383, 33,649.98 and 13,772.36

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Solution

The fourth proportional to 24,383, 33,649.98 and 13,772.36 is: 19,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,383 : 33,649.98 = 13,772.36 : x
  2. Step 2: Convert to fraction form
    24,383/33,649.98 = 13,772.36/x
  3. Step 3: Cross multiply
    24,383x = 33,649.98 × 13,772.36
  4. Step 4: Simplify right side
    24,383x = 463,439,638.55
  5. Step 5: Solve for x
    x = 463,439,638.55/24,383
  6. Step 6: Final answer
    x = 19,006.67

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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.