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Finding the Fourth Proportional to 18,449.64, 27,682.55 and 9,682.50

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Solution

The fourth proportional to 18,449.64, 27,682.55 and 9,682.50 is: 14,528.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,449.64 : 27,682.55 = 9,682.50 : x
  2. Step 2: Convert to fraction form
    18,449.64/27,682.55 = 9,682.50/x
  3. Step 3: Cross multiply
    18,449.64x = 27,682.55 × 9,682.50
  4. Step 4: Simplify right side
    18,449.64x = 268,036,290.38
  5. Step 5: Solve for x
    x = 268,036,290.38/18,449.64
  6. Step 6: Final answer
    x = 14,528.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.