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Finding the Fourth Proportional to 18,523.98, 25,563.12 and 10,566

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Solution

The fourth proportional to 18,523.98, 25,563.12 and 10,566 is: 14,581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,523.98 : 25,563.12 = 10,566 : x
  2. Step 2: Convert to fraction form
    18,523.98/25,563.12 = 10,566/x
  3. Step 3: Cross multiply
    18,523.98x = 25,563.12 × 10,566
  4. Step 4: Simplify right side
    18,523.98x = 270,099,925.92
  5. Step 5: Solve for x
    x = 270,099,925.92/18,523.98
  6. Step 6: Final answer
    x = 14,581.10

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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.