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Finding the Fourth Proportional to 19,905.72, 27,472.38 and 12,852.60

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Solution

The fourth proportional to 19,905.72, 27,472.38 and 12,852.60 is: 17,738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,905.72 : 27,472.38 = 12,852.60 : x
  2. Step 2: Convert to fraction form
    19,905.72/27,472.38 = 12,852.60/x
  3. Step 3: Cross multiply
    19,905.72x = 27,472.38 × 12,852.60
  4. Step 4: Simplify right side
    19,905.72x = 353,091,511.19
  5. Step 5: Solve for x
    x = 353,091,511.19/19,905.72
  6. Step 6: Final answer
    x = 17,738.19

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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.