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Finding the Fourth Proportional to 23,662.13, 32,653.73 and 13,052.14

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Solution

The fourth proportional to 23,662.13, 32,653.73 and 13,052.14 is: 18,011.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662.13 : 32,653.73 = 13,052.14 : x
  2. Step 2: Convert to fraction form
    23,662.13/32,653.73 = 13,052.14/x
  3. Step 3: Cross multiply
    23,662.13x = 32,653.73 × 13,052.14
  4. Step 4: Simplify right side
    23,662.13x = 426,201,006.48
  5. Step 5: Solve for x
    x = 426,201,006.48/23,662.13
  6. Step 6: Final answer
    x = 18,011.95

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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.