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Finding the Fourth Proportional to 23,688.01, 35,533.91 and 13,828.29

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Solution

The fourth proportional to 23,688.01, 35,533.91 and 13,828.29 is: 20,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,688.01 : 35,533.91 = 13,828.29 : x
  2. Step 2: Convert to fraction form
    23,688.01/35,533.91 = 13,828.29/x
  3. Step 3: Cross multiply
    23,688.01x = 35,533.91 × 13,828.29
  4. Step 4: Simplify right side
    23,688.01x = 491,373,212.31
  5. Step 5: Solve for x
    x = 491,373,212.31/23,688.01
  6. Step 6: Final answer
    x = 20,743.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.