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Finding the Fourth Proportional to 18,651.18, 27,981.66 and 6,964.50

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Solution

The fourth proportional to 18,651.18, 27,981.66 and 6,964.50 is: 10,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,651.18 : 27,981.66 = 6,964.50 : x
  2. Step 2: Convert to fraction form
    18,651.18/27,981.66 = 6,964.50/x
  3. Step 3: Cross multiply
    18,651.18x = 27,981.66 × 6,964.50
  4. Step 4: Simplify right side
    18,651.18x = 194,878,271.07
  5. Step 5: Solve for x
    x = 194,878,271.07/18,651.18
  6. Step 6: Final answer
    x = 10,448.58

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