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Finding the Fourth Proportional to 23,765.92, 32,799.12 and 13,828

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Solution

The fourth proportional to 23,765.92, 32,799.12 and 13,828 is: 19,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765.92 : 32,799.12 = 13,828 : x
  2. Step 2: Convert to fraction form
    23,765.92/32,799.12 = 13,828/x
  3. Step 3: Cross multiply
    23,765.92x = 32,799.12 × 13,828
  4. Step 4: Simplify right side
    23,765.92x = 453,546,231.36
  5. Step 5: Solve for x
    x = 453,546,231.36/23,765.92
  6. Step 6: Final answer
    x = 19,083.89

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1.5x scale

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.