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Finding the Fourth Proportional to 23,782.59, 32,819.98 and 13,027.51

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Solution

The fourth proportional to 23,782.59, 32,819.98 and 13,027.51 is: 17,977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.59 : 32,819.98 = 13,027.51 : x
  2. Step 2: Convert to fraction form
    23,782.59/32,819.98 = 13,027.51/x
  3. Step 3: Cross multiply
    23,782.59x = 32,819.98 × 13,027.51
  4. Step 4: Simplify right side
    23,782.59x = 427,562,552.51
  5. Step 5: Solve for x
    x = 427,562,552.51/23,782.59
  6. Step 6: Final answer
    x = 17,977.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.