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Finding the Fourth Proportional to 23,776.74, 32,811.84 and 13,705.11

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Solution

The fourth proportional to 23,776.74, 32,811.84 and 13,705.11 is: 18,913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.74 : 32,811.84 = 13,705.11 : x
  2. Step 2: Convert to fraction form
    23,776.74/32,811.84 = 13,705.11/x
  3. Step 3: Cross multiply
    23,776.74x = 32,811.84 × 13,705.11
  4. Step 4: Simplify right side
    23,776.74x = 449,689,712.44
  5. Step 5: Solve for x
    x = 449,689,712.44/23,776.74
  6. Step 6: Final answer
    x = 18,913.01

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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.