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Finding the Fourth Proportional to 23,617.92, 32,582.40 and 14,181

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Solution

The fourth proportional to 23,617.92, 32,582.40 and 14,181 is: 19,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,617.92 : 32,582.40 = 14,181 : x
  2. Step 2: Convert to fraction form
    23,617.92/32,582.40 = 14,181/x
  3. Step 3: Cross multiply
    23,617.92x = 32,582.40 × 14,181
  4. Step 4: Simplify right side
    23,617.92x = 462,051,014.40
  5. Step 5: Solve for x
    x = 462,051,014.40/23,617.92
  6. Step 6: Final answer
    x = 19,563.58

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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.