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Finding the Fourth Proportional to 23,622.92, 32,589.30 and 14,186

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Solution

The fourth proportional to 23,622.92, 32,589.30 and 14,186 is: 19,570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,622.92 : 32,589.30 = 14,186 : x
  2. Step 2: Convert to fraction form
    23,622.92/32,589.30 = 14,186/x
  3. Step 3: Cross multiply
    23,622.92x = 32,589.30 × 14,186
  4. Step 4: Simplify right side
    23,622.92x = 462,311,809.80
  5. Step 5: Solve for x
    x = 462,311,809.80/23,622.92
  6. Step 6: Final answer
    x = 19,570.48

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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.