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Finding the Fourth Proportional to 23,778.26, 35,687.64 and 13,258.52

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Solution

The fourth proportional to 23,778.26, 35,687.64 and 13,258.52 is: 19,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778.26 : 35,687.64 = 13,258.52 : x
  2. Step 2: Convert to fraction form
    23,778.26/35,687.64 = 13,258.52/x
  3. Step 3: Cross multiply
    23,778.26x = 35,687.64 × 13,258.52
  4. Step 4: Simplify right side
    23,778.26x = 473,165,288.69
  5. Step 5: Solve for x
    x = 473,165,288.69/23,778.26
  6. Step 6: Final answer
    x = 19,899.07

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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.