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Finding the Fourth Proportional to 23,776.92, 32,804.28 and 13,701.78

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Solution

The fourth proportional to 23,776.92, 32,804.28 and 13,701.78 is: 18,903.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.92 : 32,804.28 = 13,701.78 : x
  2. Step 2: Convert to fraction form
    23,776.92/32,804.28 = 13,701.78/x
  3. Step 3: Cross multiply
    23,776.92x = 32,804.28 × 13,701.78
  4. Step 4: Simplify right side
    23,776.92x = 449,477,027.62
  5. Step 5: Solve for x
    x = 449,477,027.62/23,776.92
  6. Step 6: Final answer
    x = 18,903.92

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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.